Square root of 90

The square root of 90 is 9.486833 (rounded to 6 decimal places). In simplest radical form it is 3√10.

Square root of 90

Pick any whole number from 1 to 10,000.

\sqrt{90} = 3\sqrt{10} \approx 9.486833

How to work it out

1
The square root of 90 is the number that multiplied by itself gives 90.
2
90 is between the perfect squares 9² = 81 and 10² = 100, so its square root is between 9 and 10.
3
Pull out the biggest square factor: 90 = 9 × 10, so
$\sqrt{90} = \sqrt{9 \times 10} = 3\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{90} \approx 9.486833$

LaTeX source of the formulas on this page

\[ \sqrt{90} = 3\sqrt{10} \approx 9.486833 \]
\[ \sqrt{90} = \sqrt{9 \times 10} = 3\sqrt{10} \]
\[ \sqrt{90} \approx 9.486833 \]

What is the square root of 90?

The square root of 90 is 9.486833 (rounded to 6 decimal places). In simplest radical form it is 3√10.

Is 90 a perfect square?

No. It lies between 9² = 81 and 10² = 100.

What is 90 squared?

90 × 90 = 8100.

What is the square root of 90 rounded to 2 decimals?

9.49.