Square root of 5700

The square root of 5700 is 75.498344 (rounded to 6 decimal places). In simplest radical form it is 10√57.

Square root of 5700

Pick any whole number from 1 to 10,000.

\sqrt{5700} = 10\sqrt{57} \approx 75.498344

How to work it out

1
The square root of 5700 is the number that multiplied by itself gives 5700.
2
5700 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: 5700 = 100 × 57, so
$\sqrt{5700} = \sqrt{100 \times 57} = 10\sqrt{57}$
4
A calculator, or long division of digits, gives
$\sqrt{5700} \approx 75.498344$

LaTeX source of the formulas on this page

\[ \sqrt{5700} = 10\sqrt{57} \approx 75.498344 \]
\[ \sqrt{5700} = \sqrt{100 \times 57} = 10\sqrt{57} \]
\[ \sqrt{5700} \approx 75.498344 \]

What is the square root of 5700?

The square root of 5700 is 75.498344 (rounded to 6 decimal places). In simplest radical form it is 10√57.

Is 5700 a perfect square?

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

What is 5700 squared?

5700 × 5700 = 32490000.

What is the square root of 5700 rounded to 2 decimals?

75.50.