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What is the closest integer to the square root of 175?
I am in 7th grade and I have a homework problem don't understand. It is:
Estimate the square root of 175. What is the closest integer to the square root of 175?
The closest integer to the square root of 175 is _________
8 Answers
- michael pLv 73 years ago
13.2287 is the square root of 175. The closest integer to the square root is 13.
- ?Lv 73 years ago
13² = 169
14² = 196
13.5² = 13*14 + 0.25 = 182.25 which is greater than 175
so 13 < √175 < 13.5
Hence the closest integer to the square root of √175 is 13.
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- sepiaLv 73 years ago
175^(1/2)
= 5 (7)^(1/2)
= 13.228756555322953
Hence the closest integer
to the square root of 175 is 13.
- ?Lv 73 years ago
Is it 10? Lets see: 10*10 = 100. Not that close.
Or 11? Lets see: 11*11 = 121. A little closer.
How about 20: 20*20 = 400. Thats much farther.
How about 12 then? 12*12 = ?
Try a few more...
Which one is the closest?
- ?Lv 73 years ago
sq rt of 175 = 13.2287565553 integer is a whole number; a number that is not a fraction. so round to 13
Ans 13