Find all square roots. 255

1 answer

To find the square roots of 255, we can express it mathematically. The square roots of a number \( x \) are the values \( y \) such that \( y^2 = x \).

For 255, the square roots are:

\[ y = \sqrt{255} \quad \text{and} \quad y = -\sqrt{255} \]

Calculating \( \sqrt{255} \):

\[ \sqrt{255} \approx 15.968 \]

Therefore, the two square roots of 255 are approximately:

\[ \sqrt{255} \approx 15.968 \quad \text{and} \quad -\sqrt{255} \approx -15.968 \]

So the square roots of 255 are:

\[ \sqrt{255} \text{ and } -\sqrt{255} \]

These can also be left in radical form as:

\[ \sqrt{255} \quad \text{and} \quad -\sqrt{255} \]