Chapter 8: Q. 8.22 (page 753)

Simplify: $(a) \sqrt[3]{125 q^{9}} (b) \sqrt[5]{243 q^{25}}$

Short Answer

Expert verified

The solution of (a) and (b) are $5 q^{3} a n d 3 q^{5}$ respectively.

Step by step solution

Part (a) Step 1. Given information

The root: $\sqrt[3]{125 q^{9}}$

Part (a) Step 2. Calculation

We have,

$\sqrt[3]{125 q^{9}} = \sqrt[3]{{(5 q^{3})}^{3}} r e w r i t e 125 q^{9} a s {(5 q^{3})}^{3} = 5 q^{3}$

Therefore, the solution is $5 q^{3}$

Part (b) Step 1. Given information

The root: $\sqrt[5]{243 q^{25}}$

Part (b) Step 2. Calculation

We have,

$\sqrt[5]{243 q^{25}} = \sqrt[5]{{(3 q^{5})}^{5}} r e w r i t e 243 q^{25} a s {(3 q^{5})}^{5} = 3 q^{5}$

Therefore, the solution is $3 q^{5}$

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Simplify: $(a) \sqrt[3]{125 q^{9}} (b) \sqrt[5]{243 q^{25}}$

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Calculation

Part (b) Step 1. Given information

Part (b) Step 2. Calculation

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Simplify:(a)125q93(b)243q255

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Calculation

Part (b) Step 1. Given information

Part (b) Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Simplify: $(a) \sqrt[3]{125 q^{9}} (b) \sqrt[5]{243 q^{25}}$