Square root of 356

The square root of 356 is 18.867962 (rounded to 6 decimal places). In simplest radical form it is 2√89.

Square root of 356

Pick any whole number from 1 to 10,000.

\sqrt{356} = 2\sqrt{89} \approx 18.867962

How to work it out

1
The square root of 356 is the number that multiplied by itself gives 356.
2
356 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 356 = 4 × 89, so
$\sqrt{356} = \sqrt{4 \times 89} = 2\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{356} \approx 18.867962$

LaTeX source of the formulas on this page

\[ \sqrt{356} = 2\sqrt{89} \approx 18.867962 \]
\[ \sqrt{356} = \sqrt{4 \times 89} = 2\sqrt{89} \]
\[ \sqrt{356} \approx 18.867962 \]

What is the square root of 356?

The square root of 356 is 18.867962 (rounded to 6 decimal places). In simplest radical form it is 2√89.

Is 356 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 356 squared?

356 × 356 = 126736.

What is the square root of 356 rounded to 2 decimals?

18.87.