Square root of 5388

The square root of 5388 is 73.402997 (rounded to 6 decimal places). In simplest radical form it is 2√1347.

Square root of 5388

Pick any whole number from 1 to 10,000.

\sqrt{5388} = 2\sqrt{1347} \approx 73.402997

How to work it out

1
The square root of 5388 is the number that multiplied by itself gives 5388.
2
5388 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: 5388 = 4 × 1347, so
$\sqrt{5388} = \sqrt{4 \times 1347} = 2\sqrt{1347}$
4
A calculator, or long division of digits, gives
$\sqrt{5388} \approx 73.402997$

LaTeX source of the formulas on this page

\[ \sqrt{5388} = 2\sqrt{1347} \approx 73.402997 \]
\[ \sqrt{5388} = \sqrt{4 \times 1347} = 2\sqrt{1347} \]
\[ \sqrt{5388} \approx 73.402997 \]

What is the square root of 5388?

The square root of 5388 is 73.402997 (rounded to 6 decimal places). In simplest radical form it is 2√1347.

Is 5388 a perfect square?

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

What is 5388 squared?

5388 × 5388 = 29030544.

What is the square root of 5388 rounded to 2 decimals?

73.40.