Square root of 736

The square root of 736 is 27.12932 (rounded to 6 decimal places). In simplest radical form it is 4√46.

Square root of 736

Pick any whole number from 1 to 10,000.

\sqrt{736} = 4\sqrt{46} \approx 27.12932

How to work it out

1
The square root of 736 is the number that multiplied by itself gives 736.
2
736 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: 736 = 16 × 46, so
$\sqrt{736} = \sqrt{16 \times 46} = 4\sqrt{46}$
4
A calculator, or long division of digits, gives
$\sqrt{736} \approx 27.12932$

LaTeX source of the formulas on this page

\[ \sqrt{736} = 4\sqrt{46} \approx 27.12932 \]
\[ \sqrt{736} = \sqrt{16 \times 46} = 4\sqrt{46} \]
\[ \sqrt{736} \approx 27.12932 \]

What is the square root of 736?

The square root of 736 is 27.12932 (rounded to 6 decimal places). In simplest radical form it is 4√46.

Is 736 a perfect square?

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

What is 736 squared?

736 × 736 = 541696.

What is the square root of 736 rounded to 2 decimals?

27.13.