Square root of 7074

The square root of 7074 is 84.107075 (rounded to 6 decimal places). In simplest radical form it is 3√786.

Square root of 7074

Pick any whole number from 1 to 10,000.

\sqrt{7074} = 3\sqrt{786} \approx 84.107075

How to work it out

1
The square root of 7074 is the number that multiplied by itself gives 7074.
2
7074 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: 7074 = 9 × 786, so
$\sqrt{7074} = \sqrt{9 \times 786} = 3\sqrt{786}$
4
A calculator, or long division of digits, gives
$\sqrt{7074} \approx 84.107075$

LaTeX source of the formulas on this page

\[ \sqrt{7074} = 3\sqrt{786} \approx 84.107075 \]
\[ \sqrt{7074} = \sqrt{9 \times 786} = 3\sqrt{786} \]
\[ \sqrt{7074} \approx 84.107075 \]

What is the square root of 7074?

The square root of 7074 is 84.107075 (rounded to 6 decimal places). In simplest radical form it is 3√786.

Is 7074 a perfect square?

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

What is 7074 squared?

7074 × 7074 = 50041476.

What is the square root of 7074 rounded to 2 decimals?

84.11.