Square root of 3675

The square root of 3675 is 60.621778 (rounded to 6 decimal places). In simplest radical form it is 35√3.

Square root of 3675

Pick any whole number from 1 to 10,000.

\sqrt{3675} = 35\sqrt{3} \approx 60.621778

How to work it out

1
The square root of 3675 is the number that multiplied by itself gives 3675.
2
3675 is between the perfect squares 60² = 3600 and 61² = 3721, so its square root is between 60 and 61.
3
Pull out the biggest square factor: 3675 = 1225 × 3, so
$\sqrt{3675} = \sqrt{1225 \times 3} = 35\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{3675} \approx 60.621778$

LaTeX source of the formulas on this page

\[ \sqrt{3675} = 35\sqrt{3} \approx 60.621778 \]
\[ \sqrt{3675} = \sqrt{1225 \times 3} = 35\sqrt{3} \]
\[ \sqrt{3675} \approx 60.621778 \]

What is the square root of 3675?

The square root of 3675 is 60.621778 (rounded to 6 decimal places). In simplest radical form it is 35√3.

Is 3675 a perfect square?

No. It lies between 60² = 3600 and 61² = 3721.

What is 3675 squared?

3675 × 3675 = 13505625.

What is the square root of 3675 rounded to 2 decimals?

60.62.