Square root of 738

The square root of 738 is 27.166155 (rounded to 6 decimal places). In simplest radical form it is 3√82.

Square root of 738

Pick any whole number from 1 to 10,000.

\sqrt{738} = 3\sqrt{82} \approx 27.166155

How to work it out

1
The square root of 738 is the number that multiplied by itself gives 738.
2
738 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: 738 = 9 × 82, so
$\sqrt{738} = \sqrt{9 \times 82} = 3\sqrt{82}$
4
A calculator, or long division of digits, gives
$\sqrt{738} \approx 27.166155$

LaTeX source of the formulas on this page

\[ \sqrt{738} = 3\sqrt{82} \approx 27.166155 \]
\[ \sqrt{738} = \sqrt{9 \times 82} = 3\sqrt{82} \]
\[ \sqrt{738} \approx 27.166155 \]

What is the square root of 738?

The square root of 738 is 27.166155 (rounded to 6 decimal places). In simplest radical form it is 3√82.

Is 738 a perfect square?

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

What is 738 squared?

738 × 738 = 544644.

What is the square root of 738 rounded to 2 decimals?

27.17.