Q. 8.10TI Estimate each root between two c... [FREE SOLUTION]

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Intermediate Algebra

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$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 8.10TI (page 748)

Estimate each root between two consecutive whole numbers: $(a) \sqrt{84} (b) \sqrt[3]{152}$

Short Answer

Expert verified

The solution of (a) is $9 < \sqrt{84} < 10$ and (b) is $5 < \sqrt[3]{152} < 6$

Step by step solution

Part (a) Step 1. Given information

The root: $\sqrt{84}$

Part (a) Step 2. Calculation

We have,

$\sqrt{84}$

Number	Square Root
8	64
9	81
10	100
11	121

$81 < 84 < 100$

$\sqrt{84}$ is between their square roots $9 < \sqrt{84} < 10$

Part (b) Step 1. Given information

The root: $\sqrt[3]{152}$

Part (b) Step 2. Calculation

We have,

$\sqrt[3]{152}$

Number	Cube Root
4	64
5	125
6	216
7	343

$125 < 152 < 216$

$\sqrt[3]{152}$ is between their cube roots $5 < \sqrt[3]{152} < 6$

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91影视

Estimate each root between two consecutive whole numbers: $(a) \sqrt{84} (b) \sqrt[3]{152}$

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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91影视

Estimate each root between two consecutive whole numbers:(a)84(b)1523

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

Discrete Mathematics

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Estimate each root between two consecutive whole numbers: $(a) \sqrt{84} (b) \sqrt[3]{152}$