Square root of 5715

The square root of 5715 is 75.597619 (rounded to 6 decimal places). In simplest radical form it is 3√635.

Square root of 5715

Pick any whole number from 1 to 10,000.

\sqrt{5715} = 3\sqrt{635} \approx 75.597619

How to work it out

1
The square root of 5715 is the number that multiplied by itself gives 5715.
2
5715 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: 5715 = 9 × 635, so
$\sqrt{5715} = \sqrt{9 \times 635} = 3\sqrt{635}$
4
A calculator, or long division of digits, gives
$\sqrt{5715} \approx 75.597619$

LaTeX source of the formulas on this page

\[ \sqrt{5715} = 3\sqrt{635} \approx 75.597619 \]
\[ \sqrt{5715} = \sqrt{9 \times 635} = 3\sqrt{635} \]
\[ \sqrt{5715} \approx 75.597619 \]

What is the square root of 5715?

The square root of 5715 is 75.597619 (rounded to 6 decimal places). In simplest radical form it is 3√635.

Is 5715 a perfect square?

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

What is 5715 squared?

5715 × 5715 = 32661225.

What is the square root of 5715 rounded to 2 decimals?

75.60.