Square root of 6700

The square root of 6700 is 81.853528 (rounded to 6 decimal places). In simplest radical form it is 10√67.

Square root of 6700

Pick any whole number from 1 to 10,000.

\sqrt{6700} = 10\sqrt{67} \approx 81.853528

How to work it out

1
The square root of 6700 is the number that multiplied by itself gives 6700.
2
6700 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6700 = 100 × 67, so
$\sqrt{6700} = \sqrt{100 \times 67} = 10\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{6700} \approx 81.853528$

LaTeX source of the formulas on this page

\[ \sqrt{6700} = 10\sqrt{67} \approx 81.853528 \]
\[ \sqrt{6700} = \sqrt{100 \times 67} = 10\sqrt{67} \]
\[ \sqrt{6700} \approx 81.853528 \]

What is the square root of 6700?

The square root of 6700 is 81.853528 (rounded to 6 decimal places). In simplest radical form it is 10√67.

Is 6700 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6700 squared?

6700 × 6700 = 44890000.

What is the square root of 6700 rounded to 2 decimals?

81.85.