Question

Rationalize root 3+root 5​

Answer 1

Answer:

- 2

Step-by-step explanation:

To rationalise multiply by its conjugate.

The conjugate of $\sqrt{3}$ + $\sqrt{5}$ is $\sqrt{3}$ - $\sqrt{5}$ then

($\sqrt{3}$ + $\sqrt{5}$ )($\sqrt{3}$ - $\sqrt{5}$ ) ← expand using FOIL

= ($\sqrt{3}$ )² - $\sqrt{15}$ + $\sqrt{15}$ - ($\sqrt{5}$ )²

= 3 - 5

= - 2