Square root of 6736

The square root of 6736 is 82.073138 (rounded to 6 decimal places). In simplest radical form it is 4√421.

Square root of 6736

Pick any whole number from 1 to 10,000.

\sqrt{6736} = 4\sqrt{421} \approx 82.073138

How to work it out

1
The square root of 6736 is the number that multiplied by itself gives 6736.
2
6736 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6736 = 16 × 421, so
$\sqrt{6736} = \sqrt{16 \times 421} = 4\sqrt{421}$
4
A calculator, or long division of digits, gives
$\sqrt{6736} \approx 82.073138$

LaTeX source of the formulas on this page

\[ \sqrt{6736} = 4\sqrt{421} \approx 82.073138 \]
\[ \sqrt{6736} = \sqrt{16 \times 421} = 4\sqrt{421} \]
\[ \sqrt{6736} \approx 82.073138 \]

What is the square root of 6736?

The square root of 6736 is 82.073138 (rounded to 6 decimal places). In simplest radical form it is 4√421.

Is 6736 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6736 squared?

6736 × 6736 = 45373696.

What is the square root of 6736 rounded to 2 decimals?

82.07.