Square root of 3456

The square root of 3456 is 58.787754 (rounded to 6 decimal places). In simplest radical form it is 24√6.

Square root of 3456

Pick any whole number from 1 to 10,000.

\sqrt{3456} = 24\sqrt{6} \approx 58.787754

How to work it out

1
The square root of 3456 is the number that multiplied by itself gives 3456.
2
3456 is between the perfect squares 58² = 3364 and 59² = 3481, so its square root is between 58 and 59.
3
Pull out the biggest square factor: 3456 = 576 × 6, so
$\sqrt{3456} = \sqrt{576 \times 6} = 24\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{3456} \approx 58.787754$

LaTeX source of the formulas on this page

\[ \sqrt{3456} = 24\sqrt{6} \approx 58.787754 \]
\[ \sqrt{3456} = \sqrt{576 \times 6} = 24\sqrt{6} \]
\[ \sqrt{3456} \approx 58.787754 \]

What is the square root of 3456?

The square root of 3456 is 58.787754 (rounded to 6 decimal places). In simplest radical form it is 24√6.

Is 3456 a perfect square?

No. It lies between 58² = 3364 and 59² = 3481.

What is 3456 squared?

3456 × 3456 = 11943936.

What is the square root of 3456 rounded to 2 decimals?

58.79.