Square root of 4500

The square root of 4500 is 67.082039 (rounded to 6 decimal places). In simplest radical form it is 30√5.

Square root of 4500

Pick any whole number from 1 to 10,000.

\sqrt{4500} = 30\sqrt{5} \approx 67.082039

How to work it out

1
The square root of 4500 is the number that multiplied by itself gives 4500.
2
4500 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4500 = 900 × 5, so
$\sqrt{4500} = \sqrt{900 \times 5} = 30\sqrt{5}$
4
A calculator, or long division of digits, gives
$\sqrt{4500} \approx 67.082039$

LaTeX source of the formulas on this page

\[ \sqrt{4500} = 30\sqrt{5} \approx 67.082039 \]
\[ \sqrt{4500} = \sqrt{900 \times 5} = 30\sqrt{5} \]
\[ \sqrt{4500} \approx 67.082039 \]

What is the square root of 4500?

The square root of 4500 is 67.082039 (rounded to 6 decimal places). In simplest radical form it is 30√5.

Is 4500 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4500 squared?

4500 × 4500 = 20250000.

What is the square root of 4500 rounded to 2 decimals?

67.08.