Square root of 3728

The square root of 3728 is 61.05735 (rounded to 6 decimal places). In simplest radical form it is 4√233.

Square root of 3728

Pick any whole number from 1 to 10,000.

\sqrt{3728} = 4\sqrt{233} \approx 61.05735

How to work it out

1
The square root of 3728 is the number that multiplied by itself gives 3728.
2
3728 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.
3
Pull out the biggest square factor: 3728 = 16 × 233, so
$\sqrt{3728} = \sqrt{16 \times 233} = 4\sqrt{233}$
4
A calculator, or long division of digits, gives
$\sqrt{3728} \approx 61.05735$

LaTeX source of the formulas on this page

\[ \sqrt{3728} = 4\sqrt{233} \approx 61.05735 \]
\[ \sqrt{3728} = \sqrt{16 \times 233} = 4\sqrt{233} \]
\[ \sqrt{3728} \approx 61.05735 \]

What is the square root of 3728?

The square root of 3728 is 61.05735 (rounded to 6 decimal places). In simplest radical form it is 4√233.

Is 3728 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3728 squared?

3728 × 3728 = 13897984.

What is the square root of 3728 rounded to 2 decimals?

61.06.