Chapter 8: Q. 8.5TI (page 747)

Simplify: $(a) \sqrt[3]{27} (b) \sqrt[4]{256} (c) \sqrt[5]{243}$

Short Answer

Expert verified

The solutions of (a), (b) and (c) are $3, 4 a n d 3$ respectively.

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,

$\sqrt[4]{256} = 4$

Since, ${(4)}^{4} = 256$

Therefore, the solution is $4$

Part (c). Step 1. Given information

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

Part (c) Step 2. Calculation

We have,

$\sqrt[5]{243} = 3$

Since, ${(3)}^{5} = 243$

Therefore, the solution is $3$

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Simplify: $(a) \sqrt[3]{27} (b) \sqrt[4]{256} (c) \sqrt[5]{243}$

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)2435

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

Applied Mathematics

Pure Maths

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Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Simplify: $(a) \sqrt[3]{27} (b) \sqrt[4]{256} (c) \sqrt[5]{243}$