Square root of 7146

The square root of 7146 is 84.534017 (rounded to 6 decimal places). In simplest radical form it is 3√794.

Square root of 7146

Pick any whole number from 1 to 10,000.

\sqrt{7146} = 3\sqrt{794} \approx 84.534017

How to work it out

1
The square root of 7146 is the number that multiplied by itself gives 7146.
2
7146 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7146 = 9 × 794, so
$\sqrt{7146} = \sqrt{9 \times 794} = 3\sqrt{794}$
4
A calculator, or long division of digits, gives
$\sqrt{7146} \approx 84.534017$

LaTeX source of the formulas on this page

\[ \sqrt{7146} = 3\sqrt{794} \approx 84.534017 \]
\[ \sqrt{7146} = \sqrt{9 \times 794} = 3\sqrt{794} \]
\[ \sqrt{7146} \approx 84.534017 \]

What is the square root of 7146?

The square root of 7146 is 84.534017 (rounded to 6 decimal places). In simplest radical form it is 3√794.

Is 7146 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7146 squared?

7146 × 7146 = 51065316.

What is the square root of 7146 rounded to 2 decimals?

84.53.