Square root of 198

The square root of 198 is 14.071247 (rounded to 6 decimal places). In simplest radical form it is 3√22.

Square root of 198

Pick any whole number from 1 to 10,000.

\sqrt{198} = 3\sqrt{22} \approx 14.071247

How to work it out

1
The square root of 198 is the number that multiplied by itself gives 198.
2
198 is between the perfect squares 14² = 196 and 15² = 225, so its square root is between 14 and 15.
3
Pull out the biggest square factor: 198 = 9 × 22, so
$\sqrt{198} = \sqrt{9 \times 22} = 3\sqrt{22}$
4
A calculator, or long division of digits, gives
$\sqrt{198} \approx 14.071247$

LaTeX source of the formulas on this page

\[ \sqrt{198} = 3\sqrt{22} \approx 14.071247 \]
\[ \sqrt{198} = \sqrt{9 \times 22} = 3\sqrt{22} \]
\[ \sqrt{198} \approx 14.071247 \]

What is the square root of 198?

The square root of 198 is 14.071247 (rounded to 6 decimal places). In simplest radical form it is 3√22.

Is 198 a perfect square?

No. It lies between 14² = 196 and 15² = 225.

What is 198 squared?

198 × 198 = 39204.

What is the square root of 198 rounded to 2 decimals?

14.07.