Square root of 7002

The square root of 7002 is 83.677954 (rounded to 6 decimal places). In simplest radical form it is 3√778.

Square root of 7002

Pick any whole number from 1 to 10,000.

\sqrt{7002} = 3\sqrt{778} \approx 83.677954

How to work it out

1
The square root of 7002 is the number that multiplied by itself gives 7002.
2
7002 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: 7002 = 9 × 778, so
$\sqrt{7002} = \sqrt{9 \times 778} = 3\sqrt{778}$
4
A calculator, or long division of digits, gives
$\sqrt{7002} \approx 83.677954$

LaTeX source of the formulas on this page

\[ \sqrt{7002} = 3\sqrt{778} \approx 83.677954 \]
\[ \sqrt{7002} = \sqrt{9 \times 778} = 3\sqrt{778} \]
\[ \sqrt{7002} \approx 83.677954 \]

What is the square root of 7002?

The square root of 7002 is 83.677954 (rounded to 6 decimal places). In simplest radical form it is 3√778.

Is 7002 a perfect square?

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

What is 7002 squared?

7002 × 7002 = 49028004.

What is the square root of 7002 rounded to 2 decimals?

83.68.