Chapter 9: Q 444. (page 1124)

Simplify:
a) $\sqrt[3]{512}$
b) $\sqrt[4]{81}$
c) $\sqrt[5]{1}$

Short Answer

Expert verified

a) $\sqrt[3]{512} = 8$

b) $\sqrt[4]{81} = 3$

c) $\sqrt[5]{1} = 1$

Step by step solution

Part (a) Step 1: Given Information

The given expression is $\sqrt[3]{512}$

Part (a) Step 2: Simplification

As $512 = 8^{3}$

Expression becomes $\sqrt[3]{8^{3}}$

$= 8$

Part (b) Step 1: Given Information

The given expression is $\sqrt[4]{81}$

Part (b) Step 2: Simplification

As $81 = 3^{4}$

Expression becomes $\sqrt[4]{3^{4}}$

$= 3$

Part (c) Step 1: Given Information

The given expression is $\sqrt[5]{1}$

Part (c) Step 2: Simplification

As $1 = 1^{5}$

Expression can be written as $\sqrt[5]{1^{5}}$

$= 1$

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Simplify:
a) $\sqrt[3]{512}$
b) $\sqrt[4]{81}$
c) $\sqrt[5]{1}$

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given Information

Part (b) Step 2: Simplification

Part (c) Step 1: Given Information

Part (c) Step 2: Simplification

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Simplify:a) 5123b) 814c)15

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given Information

Part (b) Step 2: Simplification

Part (c) Step 1: Given Information

Part (c) Step 2: Simplification

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Most popular questions from this chapter

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Simplify:
a) $\sqrt[3]{512}$
b) $\sqrt[4]{81}$
c) $\sqrt[5]{1}$