Square root of 1516

The square root of 1516 is 38.935845 (rounded to 6 decimal places). In simplest radical form it is 2√379.

Square root of 1516

Pick any whole number from 1 to 10,000.

\sqrt{1516} = 2\sqrt{379} \approx 38.935845

How to work it out

1
The square root of 1516 is the number that multiplied by itself gives 1516.
2
1516 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1516 = 4 × 379, so
$\sqrt{1516} = \sqrt{4 \times 379} = 2\sqrt{379}$
4
A calculator, or long division of digits, gives
$\sqrt{1516} \approx 38.935845$

LaTeX source of the formulas on this page

\[ \sqrt{1516} = 2\sqrt{379} \approx 38.935845 \]
\[ \sqrt{1516} = \sqrt{4 \times 379} = 2\sqrt{379} \]
\[ \sqrt{1516} \approx 38.935845 \]

What is the square root of 1516?

The square root of 1516 is 38.935845 (rounded to 6 decimal places). In simplest radical form it is 2√379.

Is 1516 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1516 squared?

1516 × 1516 = 2298256.

What is the square root of 1516 rounded to 2 decimals?

38.94.