Square root of 7136

The square root of 7136 is 84.474848 (rounded to 6 decimal places). In simplest radical form it is 4√446.

Square root of 7136

Pick any whole number from 1 to 10,000.

\sqrt{7136} = 4\sqrt{446} \approx 84.474848

How to work it out

1
The square root of 7136 is the number that multiplied by itself gives 7136.
2
7136 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: 7136 = 16 × 446, so
$\sqrt{7136} = \sqrt{16 \times 446} = 4\sqrt{446}$
4
A calculator, or long division of digits, gives
$\sqrt{7136} \approx 84.474848$

LaTeX source of the formulas on this page

\[ \sqrt{7136} = 4\sqrt{446} \approx 84.474848 \]
\[ \sqrt{7136} = \sqrt{16 \times 446} = 4\sqrt{446} \]
\[ \sqrt{7136} \approx 84.474848 \]

What is the square root of 7136?

The square root of 7136 is 84.474848 (rounded to 6 decimal places). In simplest radical form it is 4√446.

Is 7136 a perfect square?

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

What is 7136 squared?

7136 × 7136 = 50922496.

What is the square root of 7136 rounded to 2 decimals?

84.47.