Square root of 5049

The square root of 5049 is 71.056316 (rounded to 6 decimal places). In simplest radical form it is 3√561.

Square root of 5049

Pick any whole number from 1 to 10,000.

\sqrt{5049} = 3\sqrt{561} \approx 71.056316

How to work it out

1
The square root of 5049 is the number that multiplied by itself gives 5049.
2
5049 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.
3
Pull out the biggest square factor: 5049 = 9 × 561, so
$\sqrt{5049} = \sqrt{9 \times 561} = 3\sqrt{561}$
4
A calculator, or long division of digits, gives
$\sqrt{5049} \approx 71.056316$

LaTeX source of the formulas on this page

\[ \sqrt{5049} = 3\sqrt{561} \approx 71.056316 \]
\[ \sqrt{5049} = \sqrt{9 \times 561} = 3\sqrt{561} \]
\[ \sqrt{5049} \approx 71.056316 \]

What is the square root of 5049?

The square root of 5049 is 71.056316 (rounded to 6 decimal places). In simplest radical form it is 3√561.

Is 5049 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5049 squared?

5049 × 5049 = 25492401.

What is the square root of 5049 rounded to 2 decimals?

71.06.