Square root of 4475

The square root of 4475 is 66.895441 (rounded to 6 decimal places). In simplest radical form it is 5√179.

Square root of 4475

Pick any whole number from 1 to 10,000.

\sqrt{4475} = 5\sqrt{179} \approx 66.895441

How to work it out

1
The square root of 4475 is the number that multiplied by itself gives 4475.
2
4475 is between the perfect squares 66² = 4356 and 67² = 4489, so its square root is between 66 and 67.
3
Pull out the biggest square factor: 4475 = 25 × 179, so
$\sqrt{4475} = \sqrt{25 \times 179} = 5\sqrt{179}$
4
A calculator, or long division of digits, gives
$\sqrt{4475} \approx 66.895441$

LaTeX source of the formulas on this page

\[ \sqrt{4475} = 5\sqrt{179} \approx 66.895441 \]
\[ \sqrt{4475} = \sqrt{25 \times 179} = 5\sqrt{179} \]
\[ \sqrt{4475} \approx 66.895441 \]

What is the square root of 4475?

The square root of 4475 is 66.895441 (rounded to 6 decimal places). In simplest radical form it is 5√179.

Is 4475 a perfect square?

No. It lies between 66² = 4356 and 67² = 4489.

What is 4475 squared?

4475 × 4475 = 20025625.

What is the square root of 4475 rounded to 2 decimals?

66.90.