Square root of 496

The square root of 496 is 22.271057 (rounded to 6 decimal places). In simplest radical form it is 4√31.

Square root of 496

Pick any whole number from 1 to 10,000.

\sqrt{496} = 4\sqrt{31} \approx 22.271057

How to work it out

1
The square root of 496 is the number that multiplied by itself gives 496.
2
496 is between the perfect squares 22² = 484 and 23² = 529, so its square root is between 22 and 23.
3
Pull out the biggest square factor: 496 = 16 × 31, so
$\sqrt{496} = \sqrt{16 \times 31} = 4\sqrt{31}$
4
A calculator, or long division of digits, gives
$\sqrt{496} \approx 22.271057$

LaTeX source of the formulas on this page

\[ \sqrt{496} = 4\sqrt{31} \approx 22.271057 \]
\[ \sqrt{496} = \sqrt{16 \times 31} = 4\sqrt{31} \]
\[ \sqrt{496} \approx 22.271057 \]

What is the square root of 496?

The square root of 496 is 22.271057 (rounded to 6 decimal places). In simplest radical form it is 4√31.

Is 496 a perfect square?

No. It lies between 22² = 484 and 23² = 529.

What is 496 squared?

496 × 496 = 246016.

What is the square root of 496 rounded to 2 decimals?

22.27.