Square root of 4988

The square root of 4988 is 70.625774 (rounded to 6 decimal places). In simplest radical form it is 2√1247.

Square root of 4988

Pick any whole number from 1 to 10,000.

\sqrt{4988} = 2\sqrt{1247} \approx 70.625774

How to work it out

1
The square root of 4988 is the number that multiplied by itself gives 4988.
2
4988 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: 4988 = 4 × 1247, so
$\sqrt{4988} = \sqrt{4 \times 1247} = 2\sqrt{1247}$
4
A calculator, or long division of digits, gives
$\sqrt{4988} \approx 70.625774$

LaTeX source of the formulas on this page

\[ \sqrt{4988} = 2\sqrt{1247} \approx 70.625774 \]
\[ \sqrt{4988} = \sqrt{4 \times 1247} = 2\sqrt{1247} \]
\[ \sqrt{4988} \approx 70.625774 \]

What is the square root of 4988?

The square root of 4988 is 70.625774 (rounded to 6 decimal places). In simplest radical form it is 2√1247.

Is 4988 a perfect square?

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

What is 4988 squared?

4988 × 4988 = 24880144.

What is the square root of 4988 rounded to 2 decimals?

70.63.