Square root of 452

The square root of 452 is 21.260292 (rounded to 6 decimal places). In simplest radical form it is 2√113.

Square root of 452

Pick any whole number from 1 to 10,000.

\sqrt{452} = 2\sqrt{113} \approx 21.260292

How to work it out

1
The square root of 452 is the number that multiplied by itself gives 452.
2
452 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
3
Pull out the biggest square factor: 452 = 4 × 113, so
$\sqrt{452} = \sqrt{4 \times 113} = 2\sqrt{113}$
4
A calculator, or long division of digits, gives
$\sqrt{452} \approx 21.260292$

LaTeX source of the formulas on this page

\[ \sqrt{452} = 2\sqrt{113} \approx 21.260292 \]
\[ \sqrt{452} = \sqrt{4 \times 113} = 2\sqrt{113} \]
\[ \sqrt{452} \approx 21.260292 \]

What is the square root of 452?

The square root of 452 is 21.260292 (rounded to 6 decimal places). In simplest radical form it is 2√113.

Is 452 a perfect square?

No. It lies between 21² = 441 and 22² = 484.

What is 452 squared?

452 × 452 = 204304.

What is the square root of 452 rounded to 2 decimals?

21.26.