Square root of 4960

The square root of 4960 is 70.427267 (rounded to 6 decimal places). In simplest radical form it is 4√310.

Square root of 4960

Pick any whole number from 1 to 10,000.

\sqrt{4960} = 4\sqrt{310} \approx 70.427267

How to work it out

1
The square root of 4960 is the number that multiplied by itself gives 4960.
2
4960 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: 4960 = 16 × 310, so
$\sqrt{4960} = \sqrt{16 \times 310} = 4\sqrt{310}$
4
A calculator, or long division of digits, gives
$\sqrt{4960} \approx 70.427267$

LaTeX source of the formulas on this page

\[ \sqrt{4960} = 4\sqrt{310} \approx 70.427267 \]
\[ \sqrt{4960} = \sqrt{16 \times 310} = 4\sqrt{310} \]
\[ \sqrt{4960} \approx 70.427267 \]

What is the square root of 4960?

The square root of 4960 is 70.427267 (rounded to 6 decimal places). In simplest radical form it is 4√310.

Is 4960 a perfect square?

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

What is 4960 squared?

4960 × 4960 = 24601600.

What is the square root of 4960 rounded to 2 decimals?

70.43.