Square root of 9000

The square root of 9000 is 94.86833 (rounded to 6 decimal places). In simplest radical form it is 30√10.

Square root of 9000

Pick any whole number from 1 to 10,000.

\sqrt{9000} = 30\sqrt{10} \approx 94.86833

How to work it out

1
The square root of 9000 is the number that multiplied by itself gives 9000.
2
9000 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 9000 = 900 × 10, so
$\sqrt{9000} = \sqrt{900 \times 10} = 30\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{9000} \approx 94.86833$

LaTeX source of the formulas on this page

\[ \sqrt{9000} = 30\sqrt{10} \approx 94.86833 \]
\[ \sqrt{9000} = \sqrt{900 \times 10} = 30\sqrt{10} \]
\[ \sqrt{9000} \approx 94.86833 \]

What is the square root of 9000?

The square root of 9000 is 94.86833 (rounded to 6 decimal places). In simplest radical form it is 30√10.

Is 9000 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 9000 squared?

9000 × 9000 = 81000000.

What is the square root of 9000 rounded to 2 decimals?

94.87.