Question

3\sqrt(54)-2\sqrt(24)-\sqrt(96)+4\sqrt(63)

Answer 1

`3\sqrt(54)-2\sqrt(24)-\sqrt(96)+4\sqrt(63)`

We simplify each term and then combine it

`3\sqrt(54) = 3 *√(9*6) = 3*3 √(6) = 9√(6)`

`-2\sqrt(24) = -2√(4*6) = -2*2√(6) = -4√(6)`

`-\sqrt(96) = -√(16*6) = -4√(6)`

`4\sqrt(63) = 4√(9*7) = 4* 3√(7) = 12√(7)`

`9√(6) -4√(6) -4√(6) + 12√(7)`

`√(6) + 12√(7)`