Square root of 9652

The square root of 9652 is 98.244593 (rounded to 6 decimal places). In simplest radical form it is 2√2413.

Square root of 9652

Pick any whole number from 1 to 10,000.

\sqrt{9652} = 2\sqrt{2413} \approx 98.244593

How to work it out

1
The square root of 9652 is the number that multiplied by itself gives 9652.
2
9652 is between the perfect squares 98² = 9604 and 99² = 9801, so its square root is between 98 and 99.
3
Pull out the biggest square factor: 9652 = 4 × 2413, so
$\sqrt{9652} = \sqrt{4 \times 2413} = 2\sqrt{2413}$
4
A calculator, or long division of digits, gives
$\sqrt{9652} \approx 98.244593$

LaTeX source of the formulas on this page

\[ \sqrt{9652} = 2\sqrt{2413} \approx 98.244593 \]
\[ \sqrt{9652} = \sqrt{4 \times 2413} = 2\sqrt{2413} \]
\[ \sqrt{9652} \approx 98.244593 \]

What is the square root of 9652?

The square root of 9652 is 98.244593 (rounded to 6 decimal places). In simplest radical form it is 2√2413.

Is 9652 a perfect square?

No. It lies between 98² = 9604 and 99² = 9801.

What is 9652 squared?

9652 × 9652 = 93161104.

What is the square root of 9652 rounded to 2 decimals?

98.24.