Square root of 7007

The square root of 7007 is 83.707825 (rounded to 6 decimal places). In simplest radical form it is 7√143.

Square root of 7007

Pick any whole number from 1 to 10,000.

\sqrt{7007} = 7\sqrt{143} \approx 83.707825

How to work it out

1
The square root of 7007 is the number that multiplied by itself gives 7007.
2
7007 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 7007 = 49 × 143, so
$\sqrt{7007} = \sqrt{49 \times 143} = 7\sqrt{143}$
4
A calculator, or long division of digits, gives
$\sqrt{7007} \approx 83.707825$

LaTeX source of the formulas on this page

\[ \sqrt{7007} = 7\sqrt{143} \approx 83.707825 \]
\[ \sqrt{7007} = \sqrt{49 \times 143} = 7\sqrt{143} \]
\[ \sqrt{7007} \approx 83.707825 \]

What is the square root of 7007?

The square root of 7007 is 83.707825 (rounded to 6 decimal places). In simplest radical form it is 7√143.

Is 7007 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 7007 squared?

7007 × 7007 = 49098049.

What is the square root of 7007 rounded to 2 decimals?

83.71.