Square root of 5046

The square root of 5046 is 71.035203 (rounded to 6 decimal places). In simplest radical form it is 29√6.

Square root of 5046

Pick any whole number from 1 to 10,000.

\sqrt{5046} = 29\sqrt{6} \approx 71.035203

How to work it out

1
The square root of 5046 is the number that multiplied by itself gives 5046.
2
5046 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: 5046 = 841 × 6, so
$\sqrt{5046} = \sqrt{841 \times 6} = 29\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{5046} \approx 71.035203$

LaTeX source of the formulas on this page

\[ \sqrt{5046} = 29\sqrt{6} \approx 71.035203 \]
\[ \sqrt{5046} = \sqrt{841 \times 6} = 29\sqrt{6} \]
\[ \sqrt{5046} \approx 71.035203 \]

What is the square root of 5046?

The square root of 5046 is 71.035203 (rounded to 6 decimal places). In simplest radical form it is 29√6.

Is 5046 a perfect square?

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

What is 5046 squared?

5046 × 5046 = 25462116.

What is the square root of 5046 rounded to 2 decimals?

71.04.