Square root of 702

The square root of 702 is 26.495283 (rounded to 6 decimal places). In simplest radical form it is 3√78.

Square root of 702

Pick any whole number from 1 to 10,000.

\sqrt{702} = 3\sqrt{78} \approx 26.495283

How to work it out

1
The square root of 702 is the number that multiplied by itself gives 702.
2
702 is between the perfect squares 26² = 676 and 27² = 729, so its square root is between 26 and 27.
3
Pull out the biggest square factor: 702 = 9 × 78, so
$\sqrt{702} = \sqrt{9 \times 78} = 3\sqrt{78}$
4
A calculator, or long division of digits, gives
$\sqrt{702} \approx 26.495283$

LaTeX source of the formulas on this page

\[ \sqrt{702} = 3\sqrt{78} \approx 26.495283 \]
\[ \sqrt{702} = \sqrt{9 \times 78} = 3\sqrt{78} \]
\[ \sqrt{702} \approx 26.495283 \]

What is the square root of 702?

The square root of 702 is 26.495283 (rounded to 6 decimal places). In simplest radical form it is 3√78.

Is 702 a perfect square?

No. It lies between 26² = 676 and 27² = 729.

What is 702 squared?

702 × 702 = 492804.

What is the square root of 702 rounded to 2 decimals?

26.50.