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Square root of 5164

The square root of 5164 is 71.860977 (rounded to 6 decimal places). In simplest radical form it is 2√1291.

Square root of 5164

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5164 is the number that multiplied by itself gives 5164.

  2. 2

    5164 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: 5164 = 4 Ɨ 1291, so

    5164=4Ɨ1291=21291\sqrt{5164} = \sqrt{4 \times 1291} = 2\sqrt{1291}
  4. 4

    A calculator, or long division of digits, gives

    5164ā‰ˆ71.860977\sqrt{5164} \approx 71.860977
LaTeX source of the formulas on this page
\[ \sqrt{5164} = 2\sqrt{1291} \approx 71.860977 \]
\[ \sqrt{5164} = \sqrt{4 \times 1291} = 2\sqrt{1291} \]
\[ \sqrt{5164} \approx 71.860977 \]

Squares around 5164

NumberSquared
704900
715041
725184
735329

Questions

What is the square root of 5164?

The square root of 5164 is 71.860977 (rounded to 6 decimal places). In simplest radical form it is 2√1291.

Is 5164 a perfect square?

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

What is 5164 squared?

5164 Ɨ 5164 = 26666896.

What is the square root of 5164 rounded to 2 decimals?

71.86.

Nearby numbers

More about 5164

    Square root of 5164: 71.860977 | WordGPT