Square root of 7968

The square root of 7968 is 89.263654 (rounded to 6 decimal places). In simplest radical form it is 4√498.

Square root of 7968

Pick any whole number from 1 to 10,000.

\sqrt{7968} = 4\sqrt{498} \approx 89.263654

How to work it out

1
The square root of 7968 is the number that multiplied by itself gives 7968.
2
7968 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 7968 = 16 × 498, so
$\sqrt{7968} = \sqrt{16 \times 498} = 4\sqrt{498}$
4
A calculator, or long division of digits, gives
$\sqrt{7968} \approx 89.263654$

LaTeX source of the formulas on this page

\[ \sqrt{7968} = 4\sqrt{498} \approx 89.263654 \]
\[ \sqrt{7968} = \sqrt{16 \times 498} = 4\sqrt{498} \]
\[ \sqrt{7968} \approx 89.263654 \]

What is the square root of 7968?

The square root of 7968 is 89.263654 (rounded to 6 decimal places). In simplest radical form it is 4√498.

Is 7968 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 7968 squared?

7968 × 7968 = 63489024.

What is the square root of 7968 rounded to 2 decimals?

89.26.