Square root of 976

The square root of 976 is 31.240999 (rounded to 6 decimal places). In simplest radical form it is 4√61.

Square root of 976

Pick any whole number from 1 to 10,000.

\sqrt{976} = 4\sqrt{61} \approx 31.240999

How to work it out

1
The square root of 976 is the number that multiplied by itself gives 976.
2
976 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.
3
Pull out the biggest square factor: 976 = 16 × 61, so
$\sqrt{976} = \sqrt{16 \times 61} = 4\sqrt{61}$
4
A calculator, or long division of digits, gives
$\sqrt{976} \approx 31.240999$

LaTeX source of the formulas on this page

\[ \sqrt{976} = 4\sqrt{61} \approx 31.240999 \]
\[ \sqrt{976} = \sqrt{16 \times 61} = 4\sqrt{61} \]
\[ \sqrt{976} \approx 31.240999 \]

What is the square root of 976?

The square root of 976 is 31.240999 (rounded to 6 decimal places). In simplest radical form it is 4√61.

Is 976 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 976 squared?

976 × 976 = 952576.

What is the square root of 976 rounded to 2 decimals?

31.24.