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Square root of 5088

The square root of 5088 is 71.330218 (rounded to 6 decimal places). In simplest radical form it is 4√318.

Square root of 5088

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5088 is the number that multiplied by itself gives 5088.

  2. 2

    5088 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.

  3. 3

    Pull out the biggest square factor: 5088 = 16 Ɨ 318, so

    5088=16Ɨ318=4318\sqrt{5088} = \sqrt{16 \times 318} = 4\sqrt{318}
  4. 4

    A calculator, or long division of digits, gives

    5088ā‰ˆ71.330218\sqrt{5088} \approx 71.330218
LaTeX source of the formulas on this page
\[ \sqrt{5088} = 4\sqrt{318} \approx 71.330218 \]
\[ \sqrt{5088} = \sqrt{16 \times 318} = 4\sqrt{318} \]
\[ \sqrt{5088} \approx 71.330218 \]

Squares around 5088

NumberSquared
704900
715041
725184
735329

Questions

What is the square root of 5088?

The square root of 5088 is 71.330218 (rounded to 6 decimal places). In simplest radical form it is 4√318.

Is 5088 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5088 squared?

5088 Ɨ 5088 = 25887744.

What is the square root of 5088 rounded to 2 decimals?

71.33.

Nearby numbers

More about 5088

    Square root of 5088: 71.330218 | WordGPT