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Chapter 8: Q. 20 (page 755)

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

鈸� 55鈸� localid="1645041571533" 1193

Short Answer

Expert verified

Part (a)鈬�55=7<55<8

Part (b)鈬�1193=4<1193<5

Step by step solution

01

Part (a) Step 1. Given information

(a)55

Estimate each root between two consecutive whole numbers.

02

Step 2. Explanation

Think of the perfect square numbers closest to55.

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

NumberSquareroot496478

Locate 55between two consecutive perfect squares.

49<55<64

55is between their square roots.

localid="1645041998878" 7<55<8

03

Part (b) Step 3. Given information

(b)1193

Estimate each root between two consecutive whole numbers.

04

Step 4. Explanation

Similarly, we locate 119between two perfect cube numbers.

NumberCuberoot6412545

Locate 119between two consecutive perfect cubes.

鈬�64<71<125

1193is between their cube roots.

role="math" localid="1645041933419" 4<1193<5

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