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Square root of 5120

The square root of 5120 is 71.554175 (rounded to 6 decimal places). In simplest radical form it is 32√5.

Square root of 5120

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5120 is the number that multiplied by itself gives 5120.

  2. 2

    5120 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: 5120 = 1024 Ɨ 5, so

    5120=1024Ɨ5=325\sqrt{5120} = \sqrt{1024 \times 5} = 32\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    5120ā‰ˆ71.554175\sqrt{5120} \approx 71.554175
LaTeX source of the formulas on this page
\[ \sqrt{5120} = 32\sqrt{5} \approx 71.554175 \]
\[ \sqrt{5120} = \sqrt{1024 \times 5} = 32\sqrt{5} \]
\[ \sqrt{5120} \approx 71.554175 \]

Squares around 5120

NumberSquared
704900
715041
725184
735329

Questions

What is the square root of 5120?

The square root of 5120 is 71.554175 (rounded to 6 decimal places). In simplest radical form it is 32√5.

Is 5120 a perfect square?

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

What is 5120 squared?

5120 Ɨ 5120 = 26214400.

What is the square root of 5120 rounded to 2 decimals?

71.55.

Nearby numbers

More about 5120

    Square root of 5120: 71.554175 | WordGPT