Square root of 672

The square root of 672 is 25.922963 (rounded to 6 decimal places). In simplest radical form it is 4√42.

Square root of 672

Pick any whole number from 1 to 10,000.

\sqrt{672} = 4\sqrt{42} \approx 25.922963

How to work it out

1
The square root of 672 is the number that multiplied by itself gives 672.
2
672 is between the perfect squares 25² = 625 and 26² = 676, so its square root is between 25 and 26.
3
Pull out the biggest square factor: 672 = 16 × 42, so
$\sqrt{672} = \sqrt{16 \times 42} = 4\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{672} \approx 25.922963$

LaTeX source of the formulas on this page

\[ \sqrt{672} = 4\sqrt{42} \approx 25.922963 \]
\[ \sqrt{672} = \sqrt{16 \times 42} = 4\sqrt{42} \]
\[ \sqrt{672} \approx 25.922963 \]

What is the square root of 672?

The square root of 672 is 25.922963 (rounded to 6 decimal places). In simplest radical form it is 4√42.

Is 672 a perfect square?

No. It lies between 25² = 625 and 26² = 676.

What is 672 squared?

672 × 672 = 451584.

What is the square root of 672 rounded to 2 decimals?

25.92.