Chapter 9: Q 445. (page 1124)

Simplify:
a) $\sqrt[3]{125}$
b) $\sqrt[4]{1296}$
c)role="math" localid="1650561443451" $\sqrt[5]{1024}$

Short Answer

Expert verified

a) $\sqrt[3]{125} = 5$

b) $\sqrt[4]{1296} = 6$

c) $\sqrt[5]{1024} = 4$

Step by step solution

Part (a) Step 1: Given Information

The given expression is $\sqrt[3]{125}$ .

Part (a) Step 2: Simplification

As $125 = 5^{3}$

Expression becomes $\sqrt[3]{5^{3}}$

$= 5$

Part (b) Step 1: Given Information

The given expression is $\sqrt[4]{1296}$

Part (b) Step 2: Simplification

As $1296 = 8^{4}$

Expression becomes $\sqrt[4]{8^{4}}$

$= 8$

Part (c) Step 1: Given Information

The given expression is $\sqrt[5]{1024}$ .

Part (c) Step 2: Simplification

As $1024 = 4^{5}$

Expression becomes $\sqrt[5]{4^{5}}$

$= 4$

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Simplify:
a) $\sqrt[3]{125}$
b) $\sqrt[4]{1296}$
c)role="math" localid="1650561443451" $\sqrt[5]{1024}$

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)1253b)12964c)role="math" localid="1650561443451" 10245

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Calculus

Applied Mathematics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Simplify:
a) $\sqrt[3]{125}$
b) $\sqrt[4]{1296}$
c)role="math" localid="1650561443451" $\sqrt[5]{1024}$