Square root of 5250

The square root of 5250 is 72.456884 (rounded to 6 decimal places). In simplest radical form it is 5√210.

Square root of 5250

Pick any whole number from 1 to 10,000.

\sqrt{5250} = 5\sqrt{210} \approx 72.456884

How to work it out

1
The square root of 5250 is the number that multiplied by itself gives 5250.
2
5250 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: 5250 = 25 × 210, so
$\sqrt{5250} = \sqrt{25 \times 210} = 5\sqrt{210}$
4
A calculator, or long division of digits, gives
$\sqrt{5250} \approx 72.456884$

LaTeX source of the formulas on this page

\[ \sqrt{5250} = 5\sqrt{210} \approx 72.456884 \]
\[ \sqrt{5250} = \sqrt{25 \times 210} = 5\sqrt{210} \]
\[ \sqrt{5250} \approx 72.456884 \]

What is the square root of 5250?

The square root of 5250 is 72.456884 (rounded to 6 decimal places). In simplest radical form it is 5√210.

Is 5250 a perfect square?

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

What is 5250 squared?

5250 × 5250 = 27562500.

What is the square root of 5250 rounded to 2 decimals?

72.46.