Square root of 152

The square root of 152 is 12.328828 (rounded to 6 decimal places). In simplest radical form it is 2√38.

Square root of 152

Pick any whole number from 1 to 10,000.

\sqrt{152} = 2\sqrt{38} \approx 12.328828

How to work it out

1
The square root of 152 is the number that multiplied by itself gives 152.
2
152 is between the perfect squares 12² = 144 and 13² = 169, so its square root is between 12 and 13.
3
Pull out the biggest square factor: 152 = 4 × 38, so
$\sqrt{152} = \sqrt{4 \times 38} = 2\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{152} \approx 12.328828$

LaTeX source of the formulas on this page

\[ \sqrt{152} = 2\sqrt{38} \approx 12.328828 \]
\[ \sqrt{152} = \sqrt{4 \times 38} = 2\sqrt{38} \]
\[ \sqrt{152} \approx 12.328828 \]

What is the square root of 152?

The square root of 152 is 12.328828 (rounded to 6 decimal places). In simplest radical form it is 2√38.

Is 152 a perfect square?

No. It lies between 12² = 144 and 13² = 169.

What is 152 squared?

152 × 152 = 23104.

What is the square root of 152 rounded to 2 decimals?

12.33.