SOLUTION: estimate each square root to nearest whole number: 1. square root of 31 2. square root of 24 3. square root of 112 4. square root of 152

Algebra ->  Real-numbers -> SOLUTION: estimate each square root to nearest whole number: 1. square root of 31 2. square root of 24 3. square root of 112 4. square root of 152      Log On


   

Question 891872: estimate each square root to nearest whole number:
1. square root of 31
2. square root of 24
3. square root of 112
4. square root of 152
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

The perfect squares are 1, 4, 9, 16, 25, 36, ....

Notice how the number 31 is between 25 and 36. Also note how 5^2 = 25 and 6^2 = 36

So sqrt%2831%29 is between 5 and 6.

Using a calculator, we find this approximation sqrt%2831%29+=+5.56776436283002 (that decimal value goes on forever without a known pattern)

So that confirms what is said above. Round 5.56776 to the nearest whole number to get 6

So the answer to #1 is 6


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# 2

Use a calculator to get this approximation: sqrt%2824%29+=+4.89897948556636 and round that to the nearest whole number to get the final answer of 5

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I'll leave the rest (#3 and #4) for you to solve.