Square root of 9537

The square root of 9537 is 97.657565 (rounded to 6 decimal places). In simplest radical form it is 17√33.

Square root of 9537

Pick any whole number from 1 to 10,000.

\sqrt{9537} = 17\sqrt{33} \approx 97.657565

How to work it out

1
The square root of 9537 is the number that multiplied by itself gives 9537.
2
9537 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9537 = 289 × 33, so
$\sqrt{9537} = \sqrt{289 \times 33} = 17\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{9537} \approx 97.657565$

LaTeX source of the formulas on this page

\[ \sqrt{9537} = 17\sqrt{33} \approx 97.657565 \]
\[ \sqrt{9537} = \sqrt{289 \times 33} = 17\sqrt{33} \]
\[ \sqrt{9537} \approx 97.657565 \]

What is the square root of 9537?

The square root of 9537 is 97.657565 (rounded to 6 decimal places). In simplest radical form it is 17√33.

Is 9537 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9537 squared?

9537 × 9537 = 90954369.

What is the square root of 9537 rounded to 2 decimals?

97.66.