Square root of 5040

The square root of 5040 is 70.992957 (rounded to 6 decimal places). In simplest radical form it is 12√35.

Square root of 5040

Pick any whole number from 1 to 10,000.

\sqrt{5040} = 12\sqrt{35} \approx 70.992957

How to work it out

1
The square root of 5040 is the number that multiplied by itself gives 5040.
2
5040 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: 5040 = 144 × 35, so
$\sqrt{5040} = \sqrt{144 \times 35} = 12\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{5040} \approx 70.992957$

LaTeX source of the formulas on this page

\[ \sqrt{5040} = 12\sqrt{35} \approx 70.992957 \]
\[ \sqrt{5040} = \sqrt{144 \times 35} = 12\sqrt{35} \]
\[ \sqrt{5040} \approx 70.992957 \]

What is the square root of 5040?

The square root of 5040 is 70.992957 (rounded to 6 decimal places). In simplest radical form it is 12√35.

Is 5040 a perfect square?

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

What is 5040 squared?

5040 × 5040 = 25401600.

What is the square root of 5040 rounded to 2 decimals?

70.99.