Square root of 4976

The square root of 4976 is 70.540768 (rounded to 6 decimal places). In simplest radical form it is 4√311.

Square root of 4976

Pick any whole number from 1 to 10,000.

\sqrt{4976} = 4\sqrt{311} \approx 70.540768

How to work it out

1
The square root of 4976 is the number that multiplied by itself gives 4976.
2
4976 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.
3
Pull out the biggest square factor: 4976 = 16 × 311, so
$\sqrt{4976} = \sqrt{16 \times 311} = 4\sqrt{311}$
4
A calculator, or long division of digits, gives
$\sqrt{4976} \approx 70.540768$

LaTeX source of the formulas on this page

\[ \sqrt{4976} = 4\sqrt{311} \approx 70.540768 \]
\[ \sqrt{4976} = \sqrt{16 \times 311} = 4\sqrt{311} \]
\[ \sqrt{4976} \approx 70.540768 \]

What is the square root of 4976?

The square root of 4976 is 70.540768 (rounded to 6 decimal places). In simplest radical form it is 4√311.

Is 4976 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 4976 squared?

4976 × 4976 = 24760576.

What is the square root of 4976 rounded to 2 decimals?

70.54.