Chapter 8: Q. 8.7TI (page 747)

Simplify: $(a) \sqrt[3]{- 27} (b) \sqrt[4]{- 256} (c) \sqrt[5]{- 32}$

Short Answer

Expert verified

The solutions of (a) is $- 3$ , (b) is there is no real number and (c) is $- 2$

Step by step solution

Part (a). Step 1. Given information

The root: $\sqrt[3]{- 27}$

Part (a) Step 2. Calculation

We have,

$\sqrt[3]{- 27} = - 3$

Since, ${(- 3)}^{3} = - 27$

Therefore, the solution is $- 3$

Part (b). Step 1. Given information

The root: $\sqrt[4]{- 256}$

Part (b) Step 2. Calculation

We have,

$\sqrt[4]{- 256} N o t a r e a l n u m b e r$

No real number raised to the fourth power is negative.

Part (c). Step 1. Given information

The root: $\sqrt[5]{- 32}$

Part (c) Step 2. Calculation

We have,

$\sqrt[5]{- 32} = - 2$

Since, ${(- 2)}^{5} = - 32$

Therefore, the solution is $- 2$

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Simplify: $(a) \sqrt[3]{- 27} (b) \sqrt[4]{- 256} (c) \sqrt[5]{- 32}$

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

Part (c). Step 1. Given information

Part (c) Step 2. Calculation

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Simplify:(a)-273(b)-2564(c)-325

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

Part (c). Step 1. Given information

Part (c) Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify: $(a) \sqrt[3]{- 27} (b) \sqrt[4]{- 256} (c) \sqrt[5]{- 32}$