Square root of 472

The square root of 472 is 21.725561 (rounded to 6 decimal places). In simplest radical form it is 2√118.

Square root of 472

Pick any whole number from 1 to 10,000.

\sqrt{472} = 2\sqrt{118} \approx 21.725561

How to work it out

1
The square root of 472 is the number that multiplied by itself gives 472.
2
472 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: 472 = 4 × 118, so
$\sqrt{472} = \sqrt{4 \times 118} = 2\sqrt{118}$
4
A calculator, or long division of digits, gives
$\sqrt{472} \approx 21.725561$

LaTeX source of the formulas on this page

\[ \sqrt{472} = 2\sqrt{118} \approx 21.725561 \]
\[ \sqrt{472} = \sqrt{4 \times 118} = 2\sqrt{118} \]
\[ \sqrt{472} \approx 21.725561 \]

What is the square root of 472?

The square root of 472 is 21.725561 (rounded to 6 decimal places). In simplest radical form it is 2√118.

Is 472 a perfect square?

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

What is 472 squared?

472 × 472 = 222784.

What is the square root of 472 rounded to 2 decimals?

21.73.