Square root of 5468

The square root of 5468 is 73.945926 (rounded to 6 decimal places). In simplest radical form it is 2√1367.

Square root of 5468

Pick any whole number from 1 to 10,000.

\sqrt{5468} = 2\sqrt{1367} \approx 73.945926

How to work it out

1
The square root of 5468 is the number that multiplied by itself gives 5468.
2
5468 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.
3
Pull out the biggest square factor: 5468 = 4 × 1367, so
$\sqrt{5468} = \sqrt{4 \times 1367} = 2\sqrt{1367}$
4
A calculator, or long division of digits, gives
$\sqrt{5468} \approx 73.945926$

LaTeX source of the formulas on this page

\[ \sqrt{5468} = 2\sqrt{1367} \approx 73.945926 \]
\[ \sqrt{5468} = \sqrt{4 \times 1367} = 2\sqrt{1367} \]
\[ \sqrt{5468} \approx 73.945926 \]

What is the square root of 5468?

The square root of 5468 is 73.945926 (rounded to 6 decimal places). In simplest radical form it is 2√1367.

Is 5468 a perfect square?

No. It lies between 73² = 5329 and 74² = 5476.

What is 5468 squared?

5468 × 5468 = 29899024.

What is the square root of 5468 rounded to 2 decimals?

73.95.