Square root of 9752

The square root of 9752 is 98.752215 (rounded to 6 decimal places). In simplest radical form it is 2√2438.

Square root of 9752

Pick any whole number from 1 to 10,000.

\sqrt{9752} = 2\sqrt{2438} \approx 98.752215

How to work it out

1
The square root of 9752 is the number that multiplied by itself gives 9752.
2
9752 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: 9752 = 4 × 2438, so
$\sqrt{9752} = \sqrt{4 \times 2438} = 2\sqrt{2438}$
4
A calculator, or long division of digits, gives
$\sqrt{9752} \approx 98.752215$

LaTeX source of the formulas on this page

\[ \sqrt{9752} = 2\sqrt{2438} \approx 98.752215 \]
\[ \sqrt{9752} = \sqrt{4 \times 2438} = 2\sqrt{2438} \]
\[ \sqrt{9752} \approx 98.752215 \]

What is the square root of 9752?

The square root of 9752 is 98.752215 (rounded to 6 decimal places). In simplest radical form it is 2√2438.

Is 9752 a perfect square?

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

What is 9752 squared?

9752 × 9752 = 95101504.

What is the square root of 9752 rounded to 2 decimals?

98.75.