Square root of 752

The square root of 752 is 27.422618 (rounded to 6 decimal places). In simplest radical form it is 4√47.

Square root of 752

Pick any whole number from 1 to 10,000.

\sqrt{752} = 4\sqrt{47} \approx 27.422618

How to work it out

1
The square root of 752 is the number that multiplied by itself gives 752.
2
752 is between the perfect squares 27² = 729 and 28² = 784, so its square root is between 27 and 28.
3
Pull out the biggest square factor: 752 = 16 × 47, so
$\sqrt{752} = \sqrt{16 \times 47} = 4\sqrt{47}$
4
A calculator, or long division of digits, gives
$\sqrt{752} \approx 27.422618$

LaTeX source of the formulas on this page

\[ \sqrt{752} = 4\sqrt{47} \approx 27.422618 \]
\[ \sqrt{752} = \sqrt{16 \times 47} = 4\sqrt{47} \]
\[ \sqrt{752} \approx 27.422618 \]

What is the square root of 752?

The square root of 752 is 27.422618 (rounded to 6 decimal places). In simplest radical form it is 4√47.

Is 752 a perfect square?

No. It lies between 27² = 729 and 28² = 784.

What is 752 squared?

752 × 752 = 565504.

What is the square root of 752 rounded to 2 decimals?

27.42.