Square root of 5248

The square root of 5248 is 72.443081 (rounded to 6 decimal places). In simplest radical form it is 8√82.

Square root of 5248

Pick any whole number from 1 to 10,000.

\sqrt{5248} = 8\sqrt{82} \approx 72.443081

How to work it out

1
The square root of 5248 is the number that multiplied by itself gives 5248.
2
5248 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: 5248 = 64 × 82, so
$\sqrt{5248} = \sqrt{64 \times 82} = 8\sqrt{82}$
4
A calculator, or long division of digits, gives
$\sqrt{5248} \approx 72.443081$

LaTeX source of the formulas on this page

\[ \sqrt{5248} = 8\sqrt{82} \approx 72.443081 \]
\[ \sqrt{5248} = \sqrt{64 \times 82} = 8\sqrt{82} \]
\[ \sqrt{5248} \approx 72.443081 \]

What is the square root of 5248?

The square root of 5248 is 72.443081 (rounded to 6 decimal places). In simplest radical form it is 8√82.

Is 5248 a perfect square?

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

What is 5248 squared?

5248 × 5248 = 27541504.

What is the square root of 5248 rounded to 2 decimals?

72.44.