#SquareRoots

[mathsplatter-blog]

SAT Math - How to simplify √[(0.324 x 0.081 x 4.624)/(1.5625 x 0.0289 x 72.9 x 64)] ?

The SAT Math section assesses your mathematical skills, including your ability to simplify expressions involving radicals. Radicals represent square roots, and understanding how to simplify them is crucial for success on the SAT and in various mathematical scenarios. In this video, https://youtu.be/Ty2iNrjhcf4 we will explore a SAT Math question that involves simplifying a radical expression: "Simplify √[(0.324 x 0.081 x 4.624)/(1.5625 x 0.0289 x 72.9 x 64)]." The correct answer is 3/125. By the end of this exploration, you will have a clear understanding of how to simplify radical expressions, improving your performance on the SAT Math section.

Question: Simplifying Radical Expressions

Question: Simplify √[(0.324 x 0.081 x 4.624)/(1.5625 x 0.0289 x 72.9 x 64)].

Correct Answer: 3/125

Explanation and Key Concepts: Simplifying radical expressions involves finding the square root of a number and simplifying it further if possible. When a radical expression is not a perfect square, it cannot be simplified further. Converting a radical expression to a fractional form allows you to express the answer as a fraction.

Simplifying radical expressions is an important skill for the SAT Math section and in various mathematical contexts. Understanding how to perform these operations allows you to manipulate and simplify complex expressions efficiently. By mastering this skill, you'll not only excel on the SAT but also enhance your overall mathematical proficiency, which can be applied to a wide range of mathematical problems.

[ieatstairschat]

Ramblings of lunatics

Mom: So why are you so tired. I sent you two to bed so early

(Me and my brother at night)

Me: So back on this topic… what is the square root of a helicopter.

~ Brother: OMG I JUST REALISED LACTOSE INTOLERANT PEOPLE CANT HAVE MILK

~ Me: Ok so why did you ask Alexa whats 0 x 23?

Brother: Don’t act like you didn’t just almost do a Mari… i didn’t even do anything

~

Brother: Well i have a fear of death so like what. Do i get rid of it with therapy?

Brother:

Brother: How much does therapy cost?

Alexa: (a lot act like a number is here pls and ty)

Me: OMG WHAT! Oh wait shut up bro healthcare is free here.

~ Me: DUDE WE’RE BACK AT SQUARE ONE ALL THIS EQUATION ID JUST THE SQUAREROOT OF HELICOPTER. WE’RE IN A NEVER ENDKNF CYCLE

Brother: AAAAAAAAA

~

Me, caressing his face: So like yk, ur eye would sell great

Brother: So would your arm

~

Brother: Thank you for leadjng me to light. Ducks are the best we must decimate those who hate.

(with mom)

Me: Well we just like sleeping

Brother: (nodding) :3

[subtly-shakespearean]

weird thought but i'm happy i'm transgender bc if i wasn't a whole ass girl as a teenager my then-boyfriend wouldn't have dated me and i wouldn't have him as my best friend now!! and i love him so much!! he's great!!

[rlewisphilly]

666?

If the number 666 is considered evil, then technically, 25.8069758022 is the root of all evil.   “Moo hahaha…Moo hahaha”. That’s what an evil cow would say about that joke.  ;0)

[merpmonde]

Sangaku Saturday #4

In the previous info post, we went over the debate on the religious aspect of sangaku, and the fact that the absence of prayers on these tablets was more puzzling to some than the mathematics. As such, the tablets are not ema prayer tablets, but donations, which usually don't feature prayers on them. Case in point, some consecrated sake and French wine seen at Meiji-jingû in 2016.

Beyond wishing for good fortune and health, such donations serve two very worldly purposes: to contribute to the life and prestige of the shrine or temple (having a famous contributor makes the shrine famous by association), and to advertise the donor in return, as their name is on display. See this large torii at Fushimi Inari Taisha paid for by TV Asahi (テレビ朝日).

With that in mind, Meijizen's cynical comment from 1673 that sangaku aim "to celebrate the mathematical genius of their authors" may not far from the truth. The authors of sangaku are looking to gain notoriety through the publicity that the shrine or temple provides. But was the bemused Meijizen the target audience?

More on that in a couple of weeks. Below the cut is the solution to last week's problem.

The solution to the first problem (below the cut in this post) is the key. Name K, L and M the intersections of the three circles with the horizontal line. Then, by using that previous result,

Indeed, as in that problem, we can construct three right triangles, ABH, ACI and BCJ and apply Pythagoras's theorem in each.

Now, it suffices to note that KL = KM + LM, so

or, dividing by 2*squareroot(pqr), we get the desired result:

Inverting and squaring this yields the formula for r:

This gives us the means to construct this figure on paper using a compass and a marked ruler. Having chosen two radii p and q and constructed the two large circles (remember that AB=p+q) and a line tangent to both, placing M and C is done after calculating the lengths IK=CM=r and IC=KM=2*sqrt(pr).

[matex3]

berrybox but also twisted berrybox and twisted x toon berrybox because why not

yayaya also berrybox ship name list below

berrybox

fruitbox

savorytunes

squareroot

bittersweetmelody

grapefruit

melatonin

blazing cube

musicberry

harmony scorching

lunchbox

fragaria ananassa tones

berrymusic

the baker's sweet symphony

cuberry

rottenmelody (t. sprout x boxten)

outoftunebaking (t. boxten x sprout)

soursong (t. boxten x t. sprout)

moldybox (t. boxten x t. sprout)

[perfectly-cell-centric]

Hello, I'm wondering if Cell will ever try making his own techniques, or new ways to use pre-existing techniques. Like kaioken multiplied by i(which is the squareroot of -1). That's something I thought of before.

I mean technically he very likely could, but I ain't that creative to give him a bunch of his own techniques XD

[rins-batcave]

AHHHHHHHH HQPPY PERHAPS????? I THINK ITS THE SMOOTHIE AND I GOT THIS REALLY COOL MATH STICKER THAT SAYS SQUAREROOT OF -1 LOVE MATHH

[roman-is-a-gay]

I decided to return to sanders sides and rewatch all of it since I drifted away from it a couple of years ago, and Im struck with how much this series has had an influence over me and how many places I’ve made references to it over the years

Here’s a few I’ve discovered/remembered so far:

- I dressed up as Roman for my last day of ninth grade

- One of my riot accounts is named Squareroot of Scared after the iconic Logan line

- The Yerkes Dodson curve!! This is where I first learned about it, so I knew what a lecturer was talking about when she introduced it a couple years later, I remember being so proud of myself for that one lmao

- One of my dnd characters once got a pet dragon and I named him Wroamin (this one was the biggest punch in the gut when I watched the selflessness vs selfishness video, I had cOMPLETELY forgotten that joke lmao)

There’s probably more, but I just haven’t realised them yet lmao

[justalurker-blog]

Squareroot of 49..... I'm... I'm still devastated over it yu...

even I knew it was 7 😭

[lunarsilkscreen]

What Direction is Math?

When learning about [Imaginary Numbers] now called [Lateral Numbers] we learn about [I] and that's about it. Despite having an idea that the implications means theres more.

--EDIT: I more or less figured this out after being explicitly told it by [Welch Labs]@{Tik Tok}.--

In elementary math we know of positive numbers, which means we think of increasing numbers as going forward (or up if you're weird). When negative numbers were invented, this was an odd thought convention. How do you go less than zero? And then we decided to do squareroots and got i=root(-). And so this number is neither forward or backward. It's sideways, what does that mean for anything EXCEPT 2D space?

Nobody is quite sure. Except that we can use it for vector math, or linear math, or 2D+ Math that requires forward back and side to side.

Pedantic readers might say: "Well, Melin, [i] is ACTUALLY sqrt(-1)" And I say; just because 0 is neither positive nor negative, doesn't mean that it can't face a particular direction. In Vector Math, A vector is defined as a direction AND magnitude. Which, I don't like that definition either because it implies it's being applied to a separate radical which is usually just 1, so why bother incorporating magnitude in that regard.

What this means is that [i] may not be a number at all! (And give credence to the "imaginary" term we use) It's instead exactly like our (+/-) sign we put in front of numbers to imply direction. (+,-,+i,-i) It means that [i] is a degree of rotation equivalent to 90°. With [i²] being an about face or [-].

That begs the question... How does one derive a third direction from this?

[chuuyanaurkahara]

dynamite backwards is etimanyd and you know what sounds similar to etimanyd? that's right, eddie mah nyd. what does eddie mah nyd mean? well, nyd backwards is dyn, which sound like dünn. dünn is thin in english. so basically, we have eddie mah thin. and what does that sound like? correct, eddie martin. eddie martin is a boxer, who won 81 matches. 81? sounds similar? 81. 81 like 9^2. so the squareroot of 81 is 9. well, what does that mean? 9-yo children are in 3rd grade. and what did we learn in third grade? that's right. one of the emphasis is on human biology. human? you know who was a human? jesus. why tf did you send me a jesus reference

[ph-cutie]

btw my entire life I've subconsciously anthropomorphized numbers its just kinda how i am. there isn't like a numberline deeplore i just feel numbers have a slightly alive energy when i work with them and some numbers have their own distinct consistent vibe even if i can't explain it. that's where all my ramblings about being a squareroot of 3 girl and whatever come from

[sukanyasposts]

Here’s a concise and engaging version for Twitter (X):

🧠 Math Challenge Alert! 🧮

What’s the square root of 144? 🤔 Pick the correct answer: A) 10 B) 11 C) 12 D) 13

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[merpmonde]

Sangaku Sunday #11

We're almost there! We have three relations between our unknowns, the radii p, q and r. Actually, let's write them in the general setting, with any height.

Set SO = h and ON = k (so the number b in the problem so far has been equal to k/h). Repeating what we've done in previous steps, and substituting q and r in the final equation so that we get an equation with just p (I've done it so you don't have to), this is what we're solving:

The plan is simple: get p with the last equation, deduce q then r with the first two. The execution of the plan... not so simple. That last equation is messy. Let's tidy it up a bit by noting that it is actually a polynomial equation of the variable x=squareroot(2p):

There are formulas for the solutions to an equation like this, but if we can avoid using them, we'll be happy.

Here's what I did - and you can do too: a numerical test. Let's take the simplest dimensions for a right triangle, h = 4 and k = 3. Replace in the last equation and notice an obvious solution. Deduce p, then q, then r. Jubilate - until you realise something is very, very wrong...

[matex3]

updated berrybox shipname list!!

names come from tiktok comments, the discord server and my own thinking

includes twisted berrybox and toon x twisted shipnames 🗣

berrybox

bandanacharm

berryballad

basket of berries

berryanxious

bittersweet melody

berrymusic

berry protective

blazing cube

blox fruits

bluecharm

bluesavory

boxberry

caramelclouds

carameldreams

cuberry

cubic sweets

did i left the oven on

fragaria ananassa tones

fruitbasket

fruitymusic

fruitbox

fruitfulharmony

funkyberry

grapefruit

harmony scorching

healthybox

juicebox

lunchbox

melatonin

musically

musical strawberry

musicberry

saltedclouds

salteddreams

savorybandana

savoryblue

savorytunes

songfruit

squareroot

strawberrybasket

strawberrybox

the baker's symphony

vinylrecipe

[t. boxten x sprout]

out of tune baking

sleepless spring

rottenmelody

[t. sprout x boxten]

melodicmold

[t. boxten x t. sprout]

spoiledserenade

anxiety disorder

moldybox

overgrownbox

rottinginsomniac

soursong