Question

Please help with this

Answer 1

`7√(3) +12√(2)`

Explanation:

`√(12) -√(18) +3√(50) +√(75)`

`\implies √(4*3) -√(9*2) +3√(25*2) +√(25*3)`

`\implies √(4)√(3) -√(9)√(2) +3√(25)√(2) +√(25)√(3)`

`\implies 2√(3) -3√(2) +3(5)√(2) +5√(3)`

`\implies 2√(3) -3√(2) +15√(2) +5√(3)`

`\implies 2√(3) +5√(3) +15√(2) -3√(2)`

`\implies 7√(3) +12√(2)`