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Chapter 8: Q. 19 (page 755)

In the following exercises, estimate each root between two consecutive whole numbers.

鈸� 70鈸� 713

Short Answer

Expert verified

Part (a)鈬�70=8<70<9

Part (b)鈬�713=4<713<5

Step by step solution

01

Part (a) Step 1. Given information

(a)70

Estimate each root between two consecutive whole numbers.

02

Step 2. Explanation

Think of the perfect square numbers closest to70.

Make a small table of these perfect squares and their squares roots.
NumberSquareroot64881100910

Locate70between two consecutive perfect squares.

64<70<81

70is between their square roots.localid="1645040654950" 8<70<9

03

Part (b) Step 3 .Given information

(b) 713

Estimate each root between two consecutive whole numbers.

04

Step 4. Explanation

Similarly, we locate 71between two perfect cube numbers.

NumberCuberoot6412545

Locate 71between two consecutive perfect cubes.

鈬�64<71<125

713is between their cube roots.

4<713<5

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