2 years ago

Rationalize root 3+root 5

Mathematics

1 answer:

k0ka [10]2 years ago

6 0

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

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