Chapter 1: Q66. (page 10)

Evaluate each expression
$\sqrt{\frac{36}{49}}$

Short Answer

Expert verified

Expression $\sqrt{\frac{36}{49}}$ results into $\frac{6}{7}$

Step by step solution

- Meaning of ab

The symbol $\sqrt{}$ is used to denote square root of a number.

Also, $\sqrt{\frac{a}{b}}$ can be written as $\frac{\sqrt{a}}{\sqrt{b}}$

Thus $\sqrt{\frac{a}{b}}$ denotes square root of $' a'$ divided by square root of $' b'$

- Find a whole number whose square is 4

Since, $6^{2} = 36$

So, a whole number whose square is 36 is 6

- Find a whole number whose square is 9

Since, $7^{2} = 49$

So, a whole number whose square is 49 is 7

- Simplify 3649

To simplify given expression, separate square root of both numerator and denominator terms and then simplify shown below

$\begin{matrix} \sqrt{\frac{36}{49}} = \frac{\sqrt{36}}{\sqrt{49}} \\ = \frac{6}{7} \end{matrix}$

Thus, value of $\sqrt{\frac{36}{49}}$ is $\frac{6}{7}$

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Evaluate each expression
$\sqrt{\frac{36}{49}}$

Short Answer

Step by step solution

- Meaning of ab

- Find a whole number whose square is 4

- Find a whole number whose square is 9

- Simplify 3649

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Evaluate each expression3649

Short Answer

Step by step solution

- Meaning of ab

- Find a whole number whose square is 4

- Find a whole number whose square is 9

- Simplify 3649

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Applied Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression
$\sqrt{\frac{36}{49}}$