Square root of 7139

The square root of 7139 is 84.492603 (rounded to 6 decimal places). In simplest radical form it is 11√59.

Square root of 7139

Pick any whole number from 1 to 10,000.

\sqrt{7139} = 11\sqrt{59} \approx 84.492603

How to work it out

1
The square root of 7139 is the number that multiplied by itself gives 7139.
2
7139 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: 7139 = 121 × 59, so
$\sqrt{7139} = \sqrt{121 \times 59} = 11\sqrt{59}$
4
A calculator, or long division of digits, gives
$\sqrt{7139} \approx 84.492603$

LaTeX source of the formulas on this page

\[ \sqrt{7139} = 11\sqrt{59} \approx 84.492603 \]
\[ \sqrt{7139} = \sqrt{121 \times 59} = 11\sqrt{59} \]
\[ \sqrt{7139} \approx 84.492603 \]

What is the square root of 7139?

The square root of 7139 is 84.492603 (rounded to 6 decimal places). In simplest radical form it is 11√59.

Is 7139 a perfect square?

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

What is 7139 squared?

7139 × 7139 = 50965321.

What is the square root of 7139 rounded to 2 decimals?

84.49.