simplify. Assume no radicals were formed by raising negative quantities to even powers.

Question

(4√3+√5)(√3-9√5) =

Answer 1

(4√3 + √5)(√3 - 9√5)

 

We start off by FOILing:

4√9 - 36√15 + √15 - 9√25

 

Combine like terms:

4√9 - 35√15 - 9√25

 

Now we can take the square roots of the first and third:

4 * 3 - 35√15 - 9 * 5

12 - 35√15 - 45

 

And now combine again:

-33 - 35√15