Square root of 5661

The square root of 5661 is 75.239617 (rounded to 6 decimal places). In simplest radical form it is 3√629.

Square root of 5661

Pick any whole number from 1 to 10,000.

\sqrt{5661} = 3\sqrt{629} \approx 75.239617

How to work it out

1
The square root of 5661 is the number that multiplied by itself gives 5661.
2
5661 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: 5661 = 9 × 629, so
$\sqrt{5661} = \sqrt{9 \times 629} = 3\sqrt{629}$
4
A calculator, or long division of digits, gives
$\sqrt{5661} \approx 75.239617$

LaTeX source of the formulas on this page

\[ \sqrt{5661} = 3\sqrt{629} \approx 75.239617 \]
\[ \sqrt{5661} = \sqrt{9 \times 629} = 3\sqrt{629} \]
\[ \sqrt{5661} \approx 75.239617 \]

What is the square root of 5661?

The square root of 5661 is 75.239617 (rounded to 6 decimal places). In simplest radical form it is 3√629.

Is 5661 a perfect square?

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

What is 5661 squared?

5661 × 5661 = 32046921.

What is the square root of 5661 rounded to 2 decimals?

75.24.