Square root of 150

The square root of 150 is 12.247449 (rounded to 6 decimal places). In simplest radical form it is 5√6.

Square root of 150

Pick any whole number from 1 to 10,000.

\sqrt{150} = 5\sqrt{6} \approx 12.247449

How to work it out

1
The square root of 150 is the number that multiplied by itself gives 150.
2
150 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: 150 = 25 × 6, so
$\sqrt{150} = \sqrt{25 \times 6} = 5\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{150} \approx 12.247449$

LaTeX source of the formulas on this page

\[ \sqrt{150} = 5\sqrt{6} \approx 12.247449 \]
\[ \sqrt{150} = \sqrt{25 \times 6} = 5\sqrt{6} \]
\[ \sqrt{150} \approx 12.247449 \]

What is the square root of 150?

The square root of 150 is 12.247449 (rounded to 6 decimal places). In simplest radical form it is 5√6.

Is 150 a perfect square?

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

What is 150 squared?

150 × 150 = 22500.

What is the square root of 150 rounded to 2 decimals?

12.25.