Question

What is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

Answer 1

C

Explanation:

Answer 2

`3\sqrt2\cdot(5\sqrt6-7\sqrt3)=3\cdot5\cdot√(2\cdot6)-3\cdot7\cdot√(2\cdot3)\\\\=15√(12)-21\sqrt6=15√(4\cdot3)-21\sqrt6=15\cdot\sqrt4\cdot\sqrt3-21\sqrt6\\\\=15\cdot2\cdot\sqrt3-21\sqrt6=\boxed{30\sqrt3-21\sqrt6}`

`Used:\\√(a)\cdot√(b)=√(a\cdot b)`