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Estimate each square root to the nearest whole number.

31

Short Answer

Expert verified

The square root to the nearest whole number is 6.

Step by step solution

01

Step 1. List some perfect squares.

1, 4, 9, 16, 25, 36, 49,….

02

Step 2. Locate interval.

31 lies between 25 and 36.

03

Step 3. Find the nearest perfect square.

Distance of 31 from 25 = 31 – 25 = 6

Distance of 31 from 36 = 36 – 31 = 5

Since 5 < 6. So, 31 is closer to 36.

04

Step 4. Find square root of nearest perfect square.

We know 36=62. So,36=6

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