Square root of 1675

The square root of 1675 is 40.926764 (rounded to 6 decimal places). In simplest radical form it is 5√67.

Square root of 1675

Pick any whole number from 1 to 10,000.

\sqrt{1675} = 5\sqrt{67} \approx 40.926764

How to work it out

1
The square root of 1675 is the number that multiplied by itself gives 1675.
2
1675 is between the perfect squares 40² = 1600 and 41² = 1681, so its square root is between 40 and 41.
3
Pull out the biggest square factor: 1675 = 25 × 67, so
$\sqrt{1675} = \sqrt{25 \times 67} = 5\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{1675} \approx 40.926764$

LaTeX source of the formulas on this page

\[ \sqrt{1675} = 5\sqrt{67} \approx 40.926764 \]
\[ \sqrt{1675} = \sqrt{25 \times 67} = 5\sqrt{67} \]
\[ \sqrt{1675} \approx 40.926764 \]

What is the square root of 1675?

The square root of 1675 is 40.926764 (rounded to 6 decimal places). In simplest radical form it is 5√67.

Is 1675 a perfect square?

No. It lies between 40² = 1600 and 41² = 1681.

What is 1675 squared?

1675 × 1675 = 2805625.

What is the square root of 1675 rounded to 2 decimals?

40.93.