Square root of 8397

The square root of 8397 is 91.635146 (rounded to 6 decimal places). In simplest radical form it is 3√933.

Square root of 8397

Pick any whole number from 1 to 10,000.

\sqrt{8397} = 3\sqrt{933} \approx 91.635146

How to work it out

1
The square root of 8397 is the number that multiplied by itself gives 8397.
2
8397 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8397 = 9 × 933, so
$\sqrt{8397} = \sqrt{9 \times 933} = 3\sqrt{933}$
4
A calculator, or long division of digits, gives
$\sqrt{8397} \approx 91.635146$

LaTeX source of the formulas on this page

\[ \sqrt{8397} = 3\sqrt{933} \approx 91.635146 \]
\[ \sqrt{8397} = \sqrt{9 \times 933} = 3\sqrt{933} \]
\[ \sqrt{8397} \approx 91.635146 \]

What is the square root of 8397?

The square root of 8397 is 91.635146 (rounded to 6 decimal places). In simplest radical form it is 3√933.

Is 8397 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8397 squared?

8397 × 8397 = 70509609.

What is the square root of 8397 rounded to 2 decimals?

91.64.