Square root of 1532

The square root of 1532 is 39.140772 (rounded to 6 decimal places). In simplest radical form it is 2√383.

Square root of 1532

Pick any whole number from 1 to 10,000.

\sqrt{1532} = 2\sqrt{383} \approx 39.140772

How to work it out

1
The square root of 1532 is the number that multiplied by itself gives 1532.
2
1532 is between the perfect squares 39² = 1521 and 40² = 1600, so its square root is between 39 and 40.
3
Pull out the biggest square factor: 1532 = 4 × 383, so
$\sqrt{1532} = \sqrt{4 \times 383} = 2\sqrt{383}$
4
A calculator, or long division of digits, gives
$\sqrt{1532} \approx 39.140772$

LaTeX source of the formulas on this page

\[ \sqrt{1532} = 2\sqrt{383} \approx 39.140772 \]
\[ \sqrt{1532} = \sqrt{4 \times 383} = 2\sqrt{383} \]
\[ \sqrt{1532} \approx 39.140772 \]

What is the square root of 1532?

The square root of 1532 is 39.140772 (rounded to 6 decimal places). In simplest radical form it is 2√383.

Is 1532 a perfect square?

No. It lies between 39² = 1521 and 40² = 1600.

What is 1532 squared?

1532 × 1532 = 2347024.

What is the square root of 1532 rounded to 2 decimals?

39.14.