Square root of 132

The square root of 132 is 11.489125 (rounded to 6 decimal places). In simplest radical form it is 2√33.

Square root of 132

Pick any whole number from 1 to 10,000.

\sqrt{132} = 2\sqrt{33} \approx 11.489125

How to work it out

1
The square root of 132 is the number that multiplied by itself gives 132.
2
132 is between the perfect squares 11² = 121 and 12² = 144, so its square root is between 11 and 12.
3
Pull out the biggest square factor: 132 = 4 × 33, so
$\sqrt{132} = \sqrt{4 \times 33} = 2\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{132} \approx 11.489125$

LaTeX source of the formulas on this page

\[ \sqrt{132} = 2\sqrt{33} \approx 11.489125 \]
\[ \sqrt{132} = \sqrt{4 \times 33} = 2\sqrt{33} \]
\[ \sqrt{132} \approx 11.489125 \]

What is the square root of 132?

The square root of 132 is 11.489125 (rounded to 6 decimal places). In simplest radical form it is 2√33.

Is 132 a perfect square?

No. It lies between 11² = 121 and 12² = 144.

What is 132 squared?

132 × 132 = 17424.

What is the square root of 132 rounded to 2 decimals?

11.49.