Square root of 6900

The square root of 6900 is 83.066239 (rounded to 6 decimal places). In simplest radical form it is 10√69.

Square root of 6900

Pick any whole number from 1 to 10,000.

\sqrt{6900} = 10\sqrt{69} \approx 83.066239

How to work it out

1
The square root of 6900 is the number that multiplied by itself gives 6900.
2
6900 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 6900 = 100 × 69, so
$\sqrt{6900} = \sqrt{100 \times 69} = 10\sqrt{69}$
4
A calculator, or long division of digits, gives
$\sqrt{6900} \approx 83.066239$

LaTeX source of the formulas on this page

\[ \sqrt{6900} = 10\sqrt{69} \approx 83.066239 \]
\[ \sqrt{6900} = \sqrt{100 \times 69} = 10\sqrt{69} \]
\[ \sqrt{6900} \approx 83.066239 \]

What is the square root of 6900?

The square root of 6900 is 83.066239 (rounded to 6 decimal places). In simplest radical form it is 10√69.

Is 6900 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 6900 squared?

6900 × 6900 = 47610000.

What is the square root of 6900 rounded to 2 decimals?

83.07.