Question

Given that

`(8-3√(2) )/(2) = a+b√(2)`
Find a and b

Answer 1

a = 4, b = -
`(3)/(2)`

Explanation:

Given

`(8-3√(2) )/(2)` = a + b
`√(2)` ( multiply both sides by 2 to clear the fraction )

8 - 3
`√(2)` = 2a + 2b
`√(2)`

For the 2 sides to be equal , then

2a = 8 ( divide both sides by 2 )

a = 4

and

2b = - 3 ( divide both sides by - 2 )

b = -
`(3)/(2)`