Square root of 5382

The square root of 5382 is 73.362116 (rounded to 6 decimal places). In simplest radical form it is 3√598.

Square root of 5382

Pick any whole number from 1 to 10,000.

\sqrt{5382} = 3\sqrt{598} \approx 73.362116

How to work it out

1
The square root of 5382 is the number that multiplied by itself gives 5382.
2
5382 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: 5382 = 9 × 598, so
$\sqrt{5382} = \sqrt{9 \times 598} = 3\sqrt{598}$
4
A calculator, or long division of digits, gives
$\sqrt{5382} \approx 73.362116$

LaTeX source of the formulas on this page

\[ \sqrt{5382} = 3\sqrt{598} \approx 73.362116 \]
\[ \sqrt{5382} = \sqrt{9 \times 598} = 3\sqrt{598} \]
\[ \sqrt{5382} \approx 73.362116 \]

What is the square root of 5382?

The square root of 5382 is 73.362116 (rounded to 6 decimal places). In simplest radical form it is 3√598.

Is 5382 a perfect square?

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

What is 5382 squared?

5382 × 5382 = 28965924.

What is the square root of 5382 rounded to 2 decimals?

73.36.