Question

If a and b are rational numbers then 1/√7 - 2 = a√7+b

Answer 1

Answer: The value of a is 1/3 and b is 2/3

Explanation:

1 / (
`√(7)` - 2) = a
`√(7)` + b

( 1 /
`√(7)` - 2 ) x ( (
`√(7)` + 2) /
`√(7)` +2 ) = a
`√(7)` + b

(
`√(7)` + 2)/3 = a
`√(7)` + b

(
`√(7)` / 3) + (2/3 ) = a
`√(7)` + b

Here a = 1/3 and b = 2/3