Question

Show that (17√2)/(√2+6) = 3√2-1

Answer 1

TRUE

Explanation:

`(17√(2))/(√(2)+6) = (17√(2))/(√(2)+6) * (√(2)-6)/(√(2)-6) = ((17√(2))(√(2) -6))/(-34) = (-√(2)(√(2) -6))/(2) = (6√(2)-2)/(2) = 3√(2)-1`

By using conjugation
`(√(2) +6)(√(2) -6) = (√(2)) ^(2) - 6^(2) = 2-36 =-34`