Square root of 688

The square root of 688 is 26.229754 (rounded to 6 decimal places). In simplest radical form it is 4√43.

Square root of 688

Pick any whole number from 1 to 10,000.

\sqrt{688} = 4\sqrt{43} \approx 26.229754

How to work it out

1
The square root of 688 is the number that multiplied by itself gives 688.
2
688 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: 688 = 16 × 43, so
$\sqrt{688} = \sqrt{16 \times 43} = 4\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{688} \approx 26.229754$

LaTeX source of the formulas on this page

\[ \sqrt{688} = 4\sqrt{43} \approx 26.229754 \]
\[ \sqrt{688} = \sqrt{16 \times 43} = 4\sqrt{43} \]
\[ \sqrt{688} \approx 26.229754 \]

What is the square root of 688?

The square root of 688 is 26.229754 (rounded to 6 decimal places). In simplest radical form it is 4√43.

Is 688 a perfect square?

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

What is 688 squared?

688 × 688 = 473344.

What is the square root of 688 rounded to 2 decimals?

26.23.