Square root of 3015

The square root of 3015 is 54.909016 (rounded to 6 decimal places). In simplest radical form it is 3√335.

Square root of 3015

Pick any whole number from 1 to 10,000.

\sqrt{3015} = 3\sqrt{335} \approx 54.909016

How to work it out

1
The square root of 3015 is the number that multiplied by itself gives 3015.
2
3015 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: 3015 = 9 × 335, so
$\sqrt{3015} = \sqrt{9 \times 335} = 3\sqrt{335}$
4
A calculator, or long division of digits, gives
$\sqrt{3015} \approx 54.909016$

LaTeX source of the formulas on this page

\[ \sqrt{3015} = 3\sqrt{335} \approx 54.909016 \]
\[ \sqrt{3015} = \sqrt{9 \times 335} = 3\sqrt{335} \]
\[ \sqrt{3015} \approx 54.909016 \]

What is the square root of 3015?

The square root of 3015 is 54.909016 (rounded to 6 decimal places). In simplest radical form it is 3√335.

Is 3015 a perfect square?

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

What is 3015 squared?

3015 × 3015 = 9090225.

What is the square root of 3015 rounded to 2 decimals?

54.91.