Square root of 7252

The square root of 7252 is 85.158675 (rounded to 6 decimal places). In simplest radical form it is 14√37.

Square root of 7252

Pick any whole number from 1 to 10,000.

\sqrt{7252} = 14\sqrt{37} \approx 85.158675

How to work it out

1
The square root of 7252 is the number that multiplied by itself gives 7252.
2
7252 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7252 = 196 × 37, so
$\sqrt{7252} = \sqrt{196 \times 37} = 14\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{7252} \approx 85.158675$

LaTeX source of the formulas on this page

\[ \sqrt{7252} = 14\sqrt{37} \approx 85.158675 \]
\[ \sqrt{7252} = \sqrt{196 \times 37} = 14\sqrt{37} \]
\[ \sqrt{7252} \approx 85.158675 \]

What is the square root of 7252?

The square root of 7252 is 85.158675 (rounded to 6 decimal places). In simplest radical form it is 14√37.

Is 7252 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7252 squared?

7252 × 7252 = 52591504.

What is the square root of 7252 rounded to 2 decimals?

85.16.