Square root of 8468

The square root of 8468 is 92.021737 (rounded to 6 decimal places). In simplest radical form it is 2√2117.

Square root of 8468

Pick any whole number from 1 to 10,000.

\sqrt{8468} = 2\sqrt{2117} \approx 92.021737

How to work it out

1
The square root of 8468 is the number that multiplied by itself gives 8468.
2
8468 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8468 = 4 × 2117, so
$\sqrt{8468} = \sqrt{4 \times 2117} = 2\sqrt{2117}$
4
A calculator, or long division of digits, gives
$\sqrt{8468} \approx 92.021737$

LaTeX source of the formulas on this page

\[ \sqrt{8468} = 2\sqrt{2117} \approx 92.021737 \]
\[ \sqrt{8468} = \sqrt{4 \times 2117} = 2\sqrt{2117} \]
\[ \sqrt{8468} \approx 92.021737 \]

What is the square root of 8468?

The square root of 8468 is 92.021737 (rounded to 6 decimal places). In simplest radical form it is 2√2117.

Is 8468 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8468 squared?

8468 × 8468 = 71707024.

What is the square root of 8468 rounded to 2 decimals?

92.02.