Square root of 5675

The square root of 5675 is 75.332596 (rounded to 6 decimal places). In simplest radical form it is 5√227.

Square root of 5675

Pick any whole number from 1 to 10,000.

\sqrt{5675} = 5\sqrt{227} \approx 75.332596

How to work it out

1
The square root of 5675 is the number that multiplied by itself gives 5675.
2
5675 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5675 = 25 × 227, so
$\sqrt{5675} = \sqrt{25 \times 227} = 5\sqrt{227}$
4
A calculator, or long division of digits, gives
$\sqrt{5675} \approx 75.332596$

LaTeX source of the formulas on this page

\[ \sqrt{5675} = 5\sqrt{227} \approx 75.332596 \]
\[ \sqrt{5675} = \sqrt{25 \times 227} = 5\sqrt{227} \]
\[ \sqrt{5675} \approx 75.332596 \]

What is the square root of 5675?

The square root of 5675 is 75.332596 (rounded to 6 decimal places). In simplest radical form it is 5√227.

Is 5675 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5675 squared?

5675 × 5675 = 32205625.

What is the square root of 5675 rounded to 2 decimals?

75.33.