Square root of 5288

The square root of 5288 is 72.718636 (rounded to 6 decimal places). In simplest radical form it is 2√1322.

Square root of 5288

Pick any whole number from 1 to 10,000.

\sqrt{5288} = 2\sqrt{1322} \approx 72.718636

How to work it out

1
The square root of 5288 is the number that multiplied by itself gives 5288.
2
5288 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: 5288 = 4 × 1322, so
$\sqrt{5288} = \sqrt{4 \times 1322} = 2\sqrt{1322}$
4
A calculator, or long division of digits, gives
$\sqrt{5288} \approx 72.718636$

LaTeX source of the formulas on this page

\[ \sqrt{5288} = 2\sqrt{1322} \approx 72.718636 \]
\[ \sqrt{5288} = \sqrt{4 \times 1322} = 2\sqrt{1322} \]
\[ \sqrt{5288} \approx 72.718636 \]

What is the square root of 5288?

The square root of 5288 is 72.718636 (rounded to 6 decimal places). In simplest radical form it is 2√1322.

Is 5288 a perfect square?

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

What is 5288 squared?

5288 × 5288 = 27962944.

What is the square root of 5288 rounded to 2 decimals?

72.72.