Square root of 5725

The square root of 5725 is 75.66373 (rounded to 6 decimal places). In simplest radical form it is 5√229.

Square root of 5725

Pick any whole number from 1 to 10,000.

\sqrt{5725} = 5\sqrt{229} \approx 75.66373

How to work it out

1
The square root of 5725 is the number that multiplied by itself gives 5725.
2
5725 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: 5725 = 25 × 229, so
$\sqrt{5725} = \sqrt{25 \times 229} = 5\sqrt{229}$
4
A calculator, or long division of digits, gives
$\sqrt{5725} \approx 75.66373$

LaTeX source of the formulas on this page

\[ \sqrt{5725} = 5\sqrt{229} \approx 75.66373 \]
\[ \sqrt{5725} = \sqrt{25 \times 229} = 5\sqrt{229} \]
\[ \sqrt{5725} \approx 75.66373 \]

What is the square root of 5725?

The square root of 5725 is 75.66373 (rounded to 6 decimal places). In simplest radical form it is 5√229.

Is 5725 a perfect square?

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

What is 5725 squared?

5725 × 5725 = 32775625.

What is the square root of 5725 rounded to 2 decimals?

75.66.