Square root of 5660

The square root of 5660 is 75.232971 (rounded to 6 decimal places). In simplest radical form it is 2√1415.

Square root of 5660

Pick any whole number from 1 to 10,000.

\sqrt{5660} = 2\sqrt{1415} \approx 75.232971

How to work it out

1
The square root of 5660 is the number that multiplied by itself gives 5660.
2
5660 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: 5660 = 4 × 1415, so
$\sqrt{5660} = \sqrt{4 \times 1415} = 2\sqrt{1415}$
4
A calculator, or long division of digits, gives
$\sqrt{5660} \approx 75.232971$

LaTeX source of the formulas on this page

\[ \sqrt{5660} = 2\sqrt{1415} \approx 75.232971 \]
\[ \sqrt{5660} = \sqrt{4 \times 1415} = 2\sqrt{1415} \]
\[ \sqrt{5660} \approx 75.232971 \]

What is the square root of 5660?

The square root of 5660 is 75.232971 (rounded to 6 decimal places). In simplest radical form it is 2√1415.

Is 5660 a perfect square?

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

What is 5660 squared?

5660 × 5660 = 32035600.

What is the square root of 5660 rounded to 2 decimals?

75.23.