Chapter 11: Q. 120 (page 1069)

In the following exercises, write as a radical expression.
$ⓐ r^{\frac{1}{2}} ⓑ s^{\frac{1}{3}} ⓒ t^{\frac{1}{4}}$

Short Answer

Expert verified

Part (a). $r^{\frac{1}{2}} = \sqrt{r}$

Part (b). $s^{\frac{1}{3}} = \sqrt[3]{s}$

part (c). $t^{\frac{1}{4}} = \sqrt[4]{t}$

Step by step solution

Part (a) Step 1. Radical expression of r12

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the rational exponent is $2$ , so the index of the radical is $2$ . We do not show the index when it is $2$ .

So,

$r^{\frac{1}{2}} = \sqrt{r}$

Part (b). Radical expression of s13

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the exponent is $3$ , so the index is $3$ .

$s^{\frac{1}{3}} = \sqrt[3]{s}$

Part (c) Radical expression of t14

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the exponent is $4$ , so the index is $4$ .

$t^{\frac{1}{4}} = \sqrt[4]{t}$

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In the following exercises, write as a radical expression.
$ⓐ r^{\frac{1}{2}} ⓑ s^{\frac{1}{3}} ⓒ t^{\frac{1}{4}}$

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of r12

Part (b). Radical expression of s13

Part (c) Radical expression of t14

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In the following exercises, write as a radical expression.ⓐr12ⓑs13ⓒt14

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of r12

Part (b). Radical expression of s13

Part (c) Radical expression of t14

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Logic and Functions

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, write as a radical expression.
$ⓐ r^{\frac{1}{2}} ⓑ s^{\frac{1}{3}} ⓒ t^{\frac{1}{4}}$