Question

Simplify (3root5-5root2) (4root5+3root2)

Answer 1

multiply the brackets and then solve accordingly!

Answer 2

$(3 \sqrt{5 } - 5 \sqrt{2} )(4 \sqrt{5} + 3 \sqrt{2} ) \\ 3 \sqrt{5} (4 \sqrt{5} + 3 \sqrt{2} ) - 5 \sqrt{2} (4 \sqrt{5} + 3 \sqrt{2} ) \\ 12 \times 5 + 9 \sqrt{5 \times 2} - 20 \sqrt{2 \times 5} - 30 \\ 60 + 9 \sqrt{10} - 20 \sqrt{10} - 30 \\ 30 - 11 \sqrt{10}$

hope my answer will be helpful for you