Question

Those are the math questions I need the answers of ​

Answer 1

1)

`12√(18)-3√(50)+√(32)`

`12√(9)√(2)-3√(25) √(2) +√(16) √(2)`

`12*3√(2) -3*5√(2)+4√(2)`

`36√(2)-15√(2)+4√(2)`

`25√(2)`

2)

`(1)/(5+2√(6))`

Multiply
`5-2√(6)`:

`(1* \left(5-2√(6)\right))/(\left(5+2√(6)\right)\left(5-2√(6)\right))`

Apply Difference of Squares formula:
`(a+b)(a-b)=a^2-b^2`

`(5-2√(6))/(5^2-\left(2√(6)\right)^2)`

`(5-2√(6))/(25-2^2\left(√(6)\right)^2)`

`(5-2√(6))/(25-4*6)`

`(5-2√(6))/(1)`

`{5-2√(6)}`

a = 5, b = -2