Question

Rationalise 3+2√5/√5-√3

Answer 1

Answer:

3+2√5/√5-√3

since we know that conjugate pair of √5-√3 is √5+√3.

therefore, 3+2√5/√5-√3×√5+√3/√5+√3

3(√5+√4) +2√5(√5+√3) /(√5) ²+(√3) ²

3√5+3√3+10+2√15/5+3

3√5+3√3+10+2√15/8