Square root of 364

The square root of 364 is 19.078784 (rounded to 6 decimal places). In simplest radical form it is 2√91.

Square root of 364

Pick any whole number from 1 to 10,000.

\sqrt{364} = 2\sqrt{91} \approx 19.078784

How to work it out

1
The square root of 364 is the number that multiplied by itself gives 364.
2
364 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.
3
Pull out the biggest square factor: 364 = 4 × 91, so
$\sqrt{364} = \sqrt{4 \times 91} = 2\sqrt{91}$
4
A calculator, or long division of digits, gives
$\sqrt{364} \approx 19.078784$

LaTeX source of the formulas on this page

\[ \sqrt{364} = 2\sqrt{91} \approx 19.078784 \]
\[ \sqrt{364} = \sqrt{4 \times 91} = 2\sqrt{91} \]
\[ \sqrt{364} \approx 19.078784 \]

What is the square root of 364?

The square root of 364 is 19.078784 (rounded to 6 decimal places). In simplest radical form it is 2√91.

Is 364 a perfect square?

No. It lies between 19² = 361 and 20² = 400.

What is 364 squared?

364 × 364 = 132496.

What is the square root of 364 rounded to 2 decimals?

19.08.