Square root of 5319

The square root of 5319 is 72.931475 (rounded to 6 decimal places). In simplest radical form it is 3√591.

Square root of 5319

Pick any whole number from 1 to 10,000.

\sqrt{5319} = 3\sqrt{591} \approx 72.931475

How to work it out

1
The square root of 5319 is the number that multiplied by itself gives 5319.
2
5319 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: 5319 = 9 × 591, so
$\sqrt{5319} = \sqrt{9 \times 591} = 3\sqrt{591}$
4
A calculator, or long division of digits, gives
$\sqrt{5319} \approx 72.931475$

LaTeX source of the formulas on this page

\[ \sqrt{5319} = 3\sqrt{591} \approx 72.931475 \]
\[ \sqrt{5319} = \sqrt{9 \times 591} = 3\sqrt{591} \]
\[ \sqrt{5319} \approx 72.931475 \]

What is the square root of 5319?

The square root of 5319 is 72.931475 (rounded to 6 decimal places). In simplest radical form it is 3√591.

Is 5319 a perfect square?

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

What is 5319 squared?

5319 × 5319 = 28291761.

What is the square root of 5319 rounded to 2 decimals?

72.93.