Square root of 6201

The square root of 6201 is 78.746428 (rounded to 6 decimal places). In simplest radical form it is 3√689.

Square root of 6201

Pick any whole number from 1 to 10,000.

\sqrt{6201} = 3\sqrt{689} \approx 78.746428

How to work it out

1
The square root of 6201 is the number that multiplied by itself gives 6201.
2
6201 is between the perfect squares 78² = 6084 and 79² = 6241, so its square root is between 78 and 79.
3
Pull out the biggest square factor: 6201 = 9 × 689, so
$\sqrt{6201} = \sqrt{9 \times 689} = 3\sqrt{689}$
4
A calculator, or long division of digits, gives
$\sqrt{6201} \approx 78.746428$

LaTeX source of the formulas on this page

\[ \sqrt{6201} = 3\sqrt{689} \approx 78.746428 \]
\[ \sqrt{6201} = \sqrt{9 \times 689} = 3\sqrt{689} \]
\[ \sqrt{6201} \approx 78.746428 \]

What is the square root of 6201?

The square root of 6201 is 78.746428 (rounded to 6 decimal places). In simplest radical form it is 3√689.

Is 6201 a perfect square?

No. It lies between 78² = 6084 and 79² = 6241.

What is 6201 squared?

6201 × 6201 = 38452401.

What is the square root of 6201 rounded to 2 decimals?

78.75.