Square root of 9513

The square root of 9513 is 97.534609 (rounded to 6 decimal places). In simplest radical form it is 3√1057.

Square root of 9513

Pick any whole number from 1 to 10,000.

\sqrt{9513} = 3\sqrt{1057} \approx 97.534609

How to work it out

1
The square root of 9513 is the number that multiplied by itself gives 9513.
2
9513 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: 9513 = 9 × 1057, so
$\sqrt{9513} = \sqrt{9 \times 1057} = 3\sqrt{1057}$
4
A calculator, or long division of digits, gives
$\sqrt{9513} \approx 97.534609$

LaTeX source of the formulas on this page

\[ \sqrt{9513} = 3\sqrt{1057} \approx 97.534609 \]
\[ \sqrt{9513} = \sqrt{9 \times 1057} = 3\sqrt{1057} \]
\[ \sqrt{9513} \approx 97.534609 \]

What is the square root of 9513?

The square root of 9513 is 97.534609 (rounded to 6 decimal places). In simplest radical form it is 3√1057.

Is 9513 a perfect square?

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

What is 9513 squared?

9513 × 9513 = 90497169.

What is the square root of 9513 rounded to 2 decimals?

97.53.