Question

Simplify the root (√5-√3) (3√5-4√3) and (3√2+2√5) (5√2-3√5)

Answer 1

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Answer 2

Answer:

21 & 1

Step-by-step explanation:

(a) (√5-√3)(3√5-4√3)

= √5(3√5-4√3)-√3(3√5-4√3)

= 15-4√15-2√15+12

= 15-6+12

= 9+12

= 21

(b) (3√2+2√5)(5√2-3√5)

= 3√2(5√2-3√5)+2√5(5√2-3√5)

= 30-9√10+10√10-30

= -9+10

= 1

hope it helps :)