Square root of 5328

The square root of 5328 is 72.99315 (rounded to 6 decimal places). In simplest radical form it is 12√37.

Square root of 5328

Pick any whole number from 1 to 10,000.

\sqrt{5328} = 12\sqrt{37} \approx 72.99315

How to work it out

1
The square root of 5328 is the number that multiplied by itself gives 5328.
2
5328 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5328 = 144 × 37, so
$\sqrt{5328} = \sqrt{144 \times 37} = 12\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{5328} \approx 72.99315$

LaTeX source of the formulas on this page

\[ \sqrt{5328} = 12\sqrt{37} \approx 72.99315 \]
\[ \sqrt{5328} = \sqrt{144 \times 37} = 12\sqrt{37} \]
\[ \sqrt{5328} \approx 72.99315 \]

What is the square root of 5328?

The square root of 5328 is 72.99315 (rounded to 6 decimal places). In simplest radical form it is 12√37.

Is 5328 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5328 squared?

5328 × 5328 = 28387584.

What is the square root of 5328 rounded to 2 decimals?

72.99.