Square root of 5380

The square root of 5380 is 73.348483 (rounded to 6 decimal places). In simplest radical form it is 2√1345.

Square root of 5380

Pick any whole number from 1 to 10,000.

\sqrt{5380} = 2\sqrt{1345} \approx 73.348483

How to work it out

1
The square root of 5380 is the number that multiplied by itself gives 5380.
2
5380 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: 5380 = 4 × 1345, so
$\sqrt{5380} = \sqrt{4 \times 1345} = 2\sqrt{1345}$
4
A calculator, or long division of digits, gives
$\sqrt{5380} \approx 73.348483$

LaTeX source of the formulas on this page

\[ \sqrt{5380} = 2\sqrt{1345} \approx 73.348483 \]
\[ \sqrt{5380} = \sqrt{4 \times 1345} = 2\sqrt{1345} \]
\[ \sqrt{5380} \approx 73.348483 \]

What is the square root of 5380?

The square root of 5380 is 73.348483 (rounded to 6 decimal places). In simplest radical form it is 2√1345.

Is 5380 a perfect square?

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

What is 5380 squared?

5380 × 5380 = 28944400.

What is the square root of 5380 rounded to 2 decimals?

73.35.