Square root of 7076

The square root of 7076 is 84.118963 (rounded to 6 decimal places). In simplest radical form it is 2√1769.

Square root of 7076

Pick any whole number from 1 to 10,000.

\sqrt{7076} = 2\sqrt{1769} \approx 84.118963

How to work it out

1
The square root of 7076 is the number that multiplied by itself gives 7076.
2
7076 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: 7076 = 4 × 1769, so
$\sqrt{7076} = \sqrt{4 \times 1769} = 2\sqrt{1769}$
4
A calculator, or long division of digits, gives
$\sqrt{7076} \approx 84.118963$

LaTeX source of the formulas on this page

\[ \sqrt{7076} = 2\sqrt{1769} \approx 84.118963 \]
\[ \sqrt{7076} = \sqrt{4 \times 1769} = 2\sqrt{1769} \]
\[ \sqrt{7076} \approx 84.118963 \]

What is the square root of 7076?

The square root of 7076 is 84.118963 (rounded to 6 decimal places). In simplest radical form it is 2√1769.

Is 7076 a perfect square?

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

What is 7076 squared?

7076 × 7076 = 50069776.

What is the square root of 7076 rounded to 2 decimals?

84.12.