#FractionalExpressions

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SAT Math - How to find √⁵/₃ if √15 = 3.88 ?

The SAT Math section assesses your mathematical skills, including your ability to work with radicals and fractions. Understanding how to calculate radicals with fractional expressions is crucial for success on the SAT and in various mathematical scenarios. In this video, we will explore a SAT Math question that involves finding the value of √(⁵/₃) when √15 = 3.88. The correct answer is indeed approximately 1.2933. We will break down the solution step by step, as you've outlined, to help you understand the process and improve your performance on the SAT Math section.

Question: Solving Radicals with Fractional Expressions

Question: How to find √(⁵/₃) if √15 = 3.88?

Correct Answer: Approximately 1.2933

Explanation and Key Concepts: Calculating radicals with fractional expressions involves simplifying the expression under the radical sign and applying the properties of radicals. Using provided information, such as the value of √15, can help you find the solution.

Solving radicals with fractional expressions is a crucial skill for the SAT Math section and various mathematical scenarios. Understanding how to manipulate and simplify expressions involving radicals is key to success. 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. Remember to approach these questions systematically, break down the expressions, and simplify when necessary to find the correct answer.