Square root of 7425

The square root of 7425 is 86.16844 (rounded to 6 decimal places). In simplest radical form it is 15√33.

Square root of 7425

Pick any whole number from 1 to 10,000.

\sqrt{7425} = 15\sqrt{33} \approx 86.16844

How to work it out

1
The square root of 7425 is the number that multiplied by itself gives 7425.
2
7425 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7425 = 225 × 33, so
$\sqrt{7425} = \sqrt{225 \times 33} = 15\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{7425} \approx 86.16844$

LaTeX source of the formulas on this page

\[ \sqrt{7425} = 15\sqrt{33} \approx 86.16844 \]
\[ \sqrt{7425} = \sqrt{225 \times 33} = 15\sqrt{33} \]
\[ \sqrt{7425} \approx 86.16844 \]

What is the square root of 7425?

The square root of 7425 is 86.16844 (rounded to 6 decimal places). In simplest radical form it is 15√33.

Is 7425 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7425 squared?

7425 × 7425 = 55130625.

What is the square root of 7425 rounded to 2 decimals?

86.17.