Square root of 7144

The square root of 7144 is 84.522186 (rounded to 6 decimal places). In simplest radical form it is 2√1786.

Square root of 7144

Pick any whole number from 1 to 10,000.

\sqrt{7144} = 2\sqrt{1786} \approx 84.522186

How to work it out

1
The square root of 7144 is the number that multiplied by itself gives 7144.
2
7144 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: 7144 = 4 × 1786, so
$\sqrt{7144} = \sqrt{4 \times 1786} = 2\sqrt{1786}$
4
A calculator, or long division of digits, gives
$\sqrt{7144} \approx 84.522186$

LaTeX source of the formulas on this page

\[ \sqrt{7144} = 2\sqrt{1786} \approx 84.522186 \]
\[ \sqrt{7144} = \sqrt{4 \times 1786} = 2\sqrt{1786} \]
\[ \sqrt{7144} \approx 84.522186 \]

What is the square root of 7144?

The square root of 7144 is 84.522186 (rounded to 6 decimal places). In simplest radical form it is 2√1786.

Is 7144 a perfect square?

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

What is 7144 squared?

7144 × 7144 = 51036736.

What is the square root of 7144 rounded to 2 decimals?

84.52.