Square root of 5308

The square root of 5308 is 72.856022 (rounded to 6 decimal places). In simplest radical form it is 2√1327.

Square root of 5308

Pick any whole number from 1 to 10,000.

\sqrt{5308} = 2\sqrt{1327} \approx 72.856022

How to work it out

1
The square root of 5308 is the number that multiplied by itself gives 5308.
2
5308 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: 5308 = 4 × 1327, so
$\sqrt{5308} = \sqrt{4 \times 1327} = 2\sqrt{1327}$
4
A calculator, or long division of digits, gives
$\sqrt{5308} \approx 72.856022$

LaTeX source of the formulas on this page

\[ \sqrt{5308} = 2\sqrt{1327} \approx 72.856022 \]
\[ \sqrt{5308} = \sqrt{4 \times 1327} = 2\sqrt{1327} \]
\[ \sqrt{5308} \approx 72.856022 \]

What is the square root of 5308?

The square root of 5308 is 72.856022 (rounded to 6 decimal places). In simplest radical form it is 2√1327.

Is 5308 a perfect square?

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

What is 5308 squared?

5308 × 5308 = 28174864.

What is the square root of 5308 rounded to 2 decimals?

72.86.