Square root of 2997

The square root of 2997 is 54.744863 (rounded to 6 decimal places). In simplest radical form it is 9√37.

Square root of 2997

Pick any whole number from 1 to 10,000.

\sqrt{2997} = 9\sqrt{37} \approx 54.744863

How to work it out

1
The square root of 2997 is the number that multiplied by itself gives 2997.
2
2997 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.
3
Pull out the biggest square factor: 2997 = 81 × 37, so
$\sqrt{2997} = \sqrt{81 \times 37} = 9\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{2997} \approx 54.744863$

LaTeX source of the formulas on this page

\[ \sqrt{2997} = 9\sqrt{37} \approx 54.744863 \]
\[ \sqrt{2997} = \sqrt{81 \times 37} = 9\sqrt{37} \]
\[ \sqrt{2997} \approx 54.744863 \]

What is the square root of 2997?

The square root of 2997 is 54.744863 (rounded to 6 decimal places). In simplest radical form it is 9√37.

Is 2997 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 2997 squared?

2997 × 2997 = 8982009.

What is the square root of 2997 rounded to 2 decimals?

54.74.