Square root of 4996

The square root of 4996 is 70.682388 (rounded to 6 decimal places). In simplest radical form it is 2√1249.

Square root of 4996

Pick any whole number from 1 to 10,000.

\sqrt{4996} = 2\sqrt{1249} \approx 70.682388

How to work it out

1
The square root of 4996 is the number that multiplied by itself gives 4996.
2
4996 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: 4996 = 4 × 1249, so
$\sqrt{4996} = \sqrt{4 \times 1249} = 2\sqrt{1249}$
4
A calculator, or long division of digits, gives
$\sqrt{4996} \approx 70.682388$

LaTeX source of the formulas on this page

\[ \sqrt{4996} = 2\sqrt{1249} \approx 70.682388 \]
\[ \sqrt{4996} = \sqrt{4 \times 1249} = 2\sqrt{1249} \]
\[ \sqrt{4996} \approx 70.682388 \]

What is the square root of 4996?

The square root of 4996 is 70.682388 (rounded to 6 decimal places). In simplest radical form it is 2√1249.

Is 4996 a perfect square?

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

What is 4996 squared?

4996 × 4996 = 24960016.

What is the square root of 4996 rounded to 2 decimals?

70.68.