Square root of 4992

The square root of 4992 is 70.654087 (rounded to 6 decimal places). In simplest radical form it is 8√78.

Square root of 4992

Pick any whole number from 1 to 10,000.

\sqrt{4992} = 8\sqrt{78} \approx 70.654087

How to work it out

1
The square root of 4992 is the number that multiplied by itself gives 4992.
2
4992 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: 4992 = 64 × 78, so
$\sqrt{4992} = \sqrt{64 \times 78} = 8\sqrt{78}$
4
A calculator, or long division of digits, gives
$\sqrt{4992} \approx 70.654087$

LaTeX source of the formulas on this page

\[ \sqrt{4992} = 8\sqrt{78} \approx 70.654087 \]
\[ \sqrt{4992} = \sqrt{64 \times 78} = 8\sqrt{78} \]
\[ \sqrt{4992} \approx 70.654087 \]

What is the square root of 4992?

The square root of 4992 is 70.654087 (rounded to 6 decimal places). In simplest radical form it is 8√78.

Is 4992 a perfect square?

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

What is 4992 squared?

4992 × 4992 = 24920064.

What is the square root of 4992 rounded to 2 decimals?

70.65.