Square root of 5408

The square root of 5408 is 73.539105 (rounded to 6 decimal places). In simplest radical form it is 52√2.

Square root of 5408

Pick any whole number from 1 to 10,000.

\sqrt{5408} = 52\sqrt{2} \approx 73.539105

How to work it out

1
The square root of 5408 is the number that multiplied by itself gives 5408.
2
5408 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: 5408 = 2704 × 2, so
$\sqrt{5408} = \sqrt{2704 \times 2} = 52\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{5408} \approx 73.539105$

LaTeX source of the formulas on this page

\[ \sqrt{5408} = 52\sqrt{2} \approx 73.539105 \]
\[ \sqrt{5408} = \sqrt{2704 \times 2} = 52\sqrt{2} \]
\[ \sqrt{5408} \approx 73.539105 \]

What is the square root of 5408?

The square root of 5408 is 73.539105 (rounded to 6 decimal places). In simplest radical form it is 52√2.

Is 5408 a perfect square?

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

What is 5408 squared?

5408 × 5408 = 29246464.

What is the square root of 5408 rounded to 2 decimals?

73.54.