Question

3 root five -5 root 2 into 4 root 5 plus three root two

Answer 1

Hey!!!

We have
(3√5 - 5√2)(4√5 + 3√2)

=> 3√5(4√5 + 3√2) - 5√2(4√5 + 3√2)

=> 60 + 9√10 - 20√10 - 30

=> 30 - 11√10

Hope this helps

Answer 2

Hey friend,
Here is the answer you were looking for:
$(3 \sqrt{5} - 5 \sqrt{2} ) (4 \sqrt{5} + 3 \sqrt{2} ) \\ \\ = 3 \sqrt{5} \times 4 \sqrt{5} + 3 \sqrt{5} \times 3 \sqrt{2} \\ - 5 \sqrt{2} \times 4 \sqrt{5} - 5 \sqrt{2} \times 3 \sqrt{2} \\ \\ = 3 \times 4 \sqrt{5 \times 5} + 3 \times 3 \sqrt{5 \times 2} \\ - 5 \times 4 \sqrt{2 \times 5} - 5 \times 3 \sqrt{2 \times 2} \\ \\ = 12 \times 5 + 9 \sqrt{10} - 20 \sqrt{10} - 15 \times 2 \\ \\ = 60 - 11 \sqrt{10} - 30 \\ \\ = 30 - 11 \sqrt{10}$

(If you have any doubt regarding to this answer, you can ask in comment section or in inbox)

Hope this helps!!!!

@Mahak24

Thanks....
☺☺