Square root of 7641

The square root of 7641 is 87.412814 (rounded to 6 decimal places). In simplest radical form it is 3√849.

Square root of 7641

Pick any whole number from 1 to 10,000.

\sqrt{7641} = 3\sqrt{849} \approx 87.412814

How to work it out

1
The square root of 7641 is the number that multiplied by itself gives 7641.
2
7641 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
3
Pull out the biggest square factor: 7641 = 9 × 849, so
$\sqrt{7641} = \sqrt{9 \times 849} = 3\sqrt{849}$
4
A calculator, or long division of digits, gives
$\sqrt{7641} \approx 87.412814$

LaTeX source of the formulas on this page

\[ \sqrt{7641} = 3\sqrt{849} \approx 87.412814 \]
\[ \sqrt{7641} = \sqrt{9 \times 849} = 3\sqrt{849} \]
\[ \sqrt{7641} \approx 87.412814 \]

What is the square root of 7641?

The square root of 7641 is 87.412814 (rounded to 6 decimal places). In simplest radical form it is 3√849.

Is 7641 a perfect square?

No. It lies between 87² = 7569 and 88² = 7744.

What is 7641 squared?

7641 × 7641 = 58384881.

What is the square root of 7641 rounded to 2 decimals?

87.41.