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? asked in Science & MathematicsMathematics · 3 years ago

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

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  • M.
    Lv 7
    3 years ago

    The square root of 175 is 13.2287566 and on...

    So 13 is the answer.

  • 3 years ago

    13.2287 is the square root of 175. The closest integer to the square root is 13.

  • ?
    Lv 7
    3 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.

  • 3 years ago

    √169 = 13

    √196 = 14

    So 13

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  • sepia
    Lv 7
    3 years ago

    175^(1/2)

    = 5 (7)^(1/2)

    = 13.228756555322953

    Hence the closest integer

    to the square root of 175 is 13.

  • DWRead
    Lv 7
    3 years ago

    13² = 169

    14² = 196

    So 13 is the closest integer to √175

  • ?
    Lv 7
    3 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 7
    3 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

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