Square root of 4375

The square root of 4375 is 66.143783 (rounded to 6 decimal places). In simplest radical form it is 25√7.

Square root of 4375

Pick any whole number from 1 to 10,000.

\sqrt{4375} = 25\sqrt{7} \approx 66.143783

How to work it out

1
The square root of 4375 is the number that multiplied by itself gives 4375.
2
4375 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: 4375 = 625 × 7, so
$\sqrt{4375} = \sqrt{625 \times 7} = 25\sqrt{7}$
4
A calculator, or long division of digits, gives
$\sqrt{4375} \approx 66.143783$

LaTeX source of the formulas on this page

\[ \sqrt{4375} = 25\sqrt{7} \approx 66.143783 \]
\[ \sqrt{4375} = \sqrt{625 \times 7} = 25\sqrt{7} \]
\[ \sqrt{4375} \approx 66.143783 \]

What is the square root of 4375?

The square root of 4375 is 66.143783 (rounded to 6 decimal places). In simplest radical form it is 25√7.

Is 4375 a perfect square?

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

What is 4375 squared?

4375 × 4375 = 19140625.

What is the square root of 4375 rounded to 2 decimals?

66.14.