Square root of 168

The square root of 168 is 12.961481 (rounded to 6 decimal places). In simplest radical form it is 2√42.

Square root of 168

Pick any whole number from 1 to 10,000.

\sqrt{168} = 2\sqrt{42} \approx 12.961481

How to work it out

1
The square root of 168 is the number that multiplied by itself gives 168.
2
168 is between the perfect squares 12² = 144 and 13² = 169, so its square root is between 12 and 13.
3
Pull out the biggest square factor: 168 = 4 × 42, so
$\sqrt{168} = \sqrt{4 \times 42} = 2\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{168} \approx 12.961481$

LaTeX source of the formulas on this page

\[ \sqrt{168} = 2\sqrt{42} \approx 12.961481 \]
\[ \sqrt{168} = \sqrt{4 \times 42} = 2\sqrt{42} \]
\[ \sqrt{168} \approx 12.961481 \]

What is the square root of 168?

The square root of 168 is 12.961481 (rounded to 6 decimal places). In simplest radical form it is 2√42.

Is 168 a perfect square?

No. It lies between 12² = 144 and 13² = 169.

What is 168 squared?

168 × 168 = 28224.

What is the square root of 168 rounded to 2 decimals?

12.96.