Square root of 7200

The square root of 7200 is 84.852814 (rounded to 6 decimal places). In simplest radical form it is 60√2.

Square root of 7200

Pick any whole number from 1 to 10,000.

\sqrt{7200} = 60\sqrt{2} \approx 84.852814

How to work it out

1
The square root of 7200 is the number that multiplied by itself gives 7200.
2
7200 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7200 = 3600 × 2, so
$\sqrt{7200} = \sqrt{3600 \times 2} = 60\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{7200} \approx 84.852814$

LaTeX source of the formulas on this page

\[ \sqrt{7200} = 60\sqrt{2} \approx 84.852814 \]
\[ \sqrt{7200} = \sqrt{3600 \times 2} = 60\sqrt{2} \]
\[ \sqrt{7200} \approx 84.852814 \]

What is the square root of 7200?

The square root of 7200 is 84.852814 (rounded to 6 decimal places). In simplest radical form it is 60√2.

Is 7200 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7200 squared?

7200 × 7200 = 51840000.

What is the square root of 7200 rounded to 2 decimals?

84.85.