Chapter 1: Q65. (page 10)

Evaluate each expression
65. $\sqrt{\frac{4}{9}}$

Short Answer

Expert verified

Expression $\sqrt{\frac{4}{9}}$ results into $\frac{2}{3}$

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, $2^{2} = 4$

So, a whole number whose square is 4 is 2

- Find a whole number whose square is 9

Since, $3^{2} = 9$

So, a whole number whose square is 9 is 3

- Simplify 49

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

$\begin{matrix} \sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} \\ = \frac{2}{3} \end{matrix}$

Thus, value of $\sqrt{\frac{4}{9}}$ is $\frac{2}{3}$

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Evaluate each expression
65. $\sqrt{\frac{4}{9}}$

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 49

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Evaluate each expression65. 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 49

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Mechanics Maths

Applied Mathematics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate each expression
65. $\sqrt{\frac{4}{9}}$