Square root of 5656

The square root of 5656 is 75.206383 (rounded to 6 decimal places). In simplest radical form it is 2√1414.

Square root of 5656

Pick any whole number from 1 to 10,000.

\sqrt{5656} = 2\sqrt{1414} \approx 75.206383

How to work it out

1
The square root of 5656 is the number that multiplied by itself gives 5656.
2
5656 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5656 = 4 × 1414, so
$\sqrt{5656} = \sqrt{4 \times 1414} = 2\sqrt{1414}$
4
A calculator, or long division of digits, gives
$\sqrt{5656} \approx 75.206383$

LaTeX source of the formulas on this page

\[ \sqrt{5656} = 2\sqrt{1414} \approx 75.206383 \]
\[ \sqrt{5656} = \sqrt{4 \times 1414} = 2\sqrt{1414} \]
\[ \sqrt{5656} \approx 75.206383 \]

What is the square root of 5656?

The square root of 5656 is 75.206383 (rounded to 6 decimal places). In simplest radical form it is 2√1414.

Is 5656 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5656 squared?

5656 × 5656 = 31990336.

What is the square root of 5656 rounded to 2 decimals?

75.21.