Square root of 8420

The square root of 8420 is 91.760558 (rounded to 6 decimal places). In simplest radical form it is 2√2105.

Square root of 8420

Pick any whole number from 1 to 10,000.

\sqrt{8420} = 2\sqrt{2105} \approx 91.760558

How to work it out

1
The square root of 8420 is the number that multiplied by itself gives 8420.
2
8420 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: 8420 = 4 × 2105, so
$\sqrt{8420} = \sqrt{4 \times 2105} = 2\sqrt{2105}$
4
A calculator, or long division of digits, gives
$\sqrt{8420} \approx 91.760558$

LaTeX source of the formulas on this page

\[ \sqrt{8420} = 2\sqrt{2105} \approx 91.760558 \]
\[ \sqrt{8420} = \sqrt{4 \times 2105} = 2\sqrt{2105} \]
\[ \sqrt{8420} \approx 91.760558 \]

What is the square root of 8420?

The square root of 8420 is 91.760558 (rounded to 6 decimal places). In simplest radical form it is 2√2105.

Is 8420 a perfect square?

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

What is 8420 squared?

8420 × 8420 = 70896400.

What is the square root of 8420 rounded to 2 decimals?

91.76.