Square root of 1512

The square root of 1512 is 38.884444 (rounded to 6 decimal places). In simplest radical form it is 6√42.

Square root of 1512

Pick any whole number from 1 to 10,000.

\sqrt{1512} = 6\sqrt{42} \approx 38.884444

How to work it out

1
The square root of 1512 is the number that multiplied by itself gives 1512.
2
1512 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: 1512 = 36 × 42, so
$\sqrt{1512} = \sqrt{36 \times 42} = 6\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{1512} \approx 38.884444$

LaTeX source of the formulas on this page

\[ \sqrt{1512} = 6\sqrt{42} \approx 38.884444 \]
\[ \sqrt{1512} = \sqrt{36 \times 42} = 6\sqrt{42} \]
\[ \sqrt{1512} \approx 38.884444 \]

What is the square root of 1512?

The square root of 1512 is 38.884444 (rounded to 6 decimal places). In simplest radical form it is 6√42.

Is 1512 a perfect square?

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

What is 1512 squared?

1512 × 1512 = 2286144.

What is the square root of 1512 rounded to 2 decimals?

38.88.