Square root of 40

The square root of 40 is 6.324555 (rounded to 6 decimal places). In simplest radical form it is 2√10.

Square root of 40

Pick any whole number from 1 to 10,000.

\sqrt{40} = 2\sqrt{10} \approx 6.324555

How to work it out

1
The square root of 40 is the number that multiplied by itself gives 40.
2
40 is between the perfect squares 6² = 36 and 7² = 49, so its square root is between 6 and 7.
3
Pull out the biggest square factor: 40 = 4 × 10, so
$\sqrt{40} = \sqrt{4 \times 10} = 2\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{40} \approx 6.324555$

LaTeX source of the formulas on this page

\[ \sqrt{40} = 2\sqrt{10} \approx 6.324555 \]
\[ \sqrt{40} = \sqrt{4 \times 10} = 2\sqrt{10} \]
\[ \sqrt{40} \approx 6.324555 \]

What is the square root of 40?

The square root of 40 is 6.324555 (rounded to 6 decimal places). In simplest radical form it is 2√10.

Is 40 a perfect square?

No. It lies between 6² = 36 and 7² = 49.

What is 40 squared?

40 × 40 = 1600.

What is the square root of 40 rounded to 2 decimals?

6.32.