Square root of 4952

The square root of 4952 is 70.370448 (rounded to 6 decimal places). In simplest radical form it is 2√1238.

Square root of 4952

Pick any whole number from 1 to 10,000.

\sqrt{4952} = 2\sqrt{1238} \approx 70.370448

How to work it out

1
The square root of 4952 is the number that multiplied by itself gives 4952.
2
4952 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: 4952 = 4 × 1238, so
$\sqrt{4952} = \sqrt{4 \times 1238} = 2\sqrt{1238}$
4
A calculator, or long division of digits, gives
$\sqrt{4952} \approx 70.370448$

LaTeX source of the formulas on this page

\[ \sqrt{4952} = 2\sqrt{1238} \approx 70.370448 \]
\[ \sqrt{4952} = \sqrt{4 \times 1238} = 2\sqrt{1238} \]
\[ \sqrt{4952} \approx 70.370448 \]

What is the square root of 4952?

The square root of 4952 is 70.370448 (rounded to 6 decimal places). In simplest radical form it is 2√1238.

Is 4952 a perfect square?

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

What is 4952 squared?

4952 × 4952 = 24522304.

What is the square root of 4952 rounded to 2 decimals?

70.37.