state gov AP Police SI (Pre+Mains) Mock Test 2022 Quantitative Aptitude Simplification Surds and Indices
If A = (√5 + 1) and B = (√5 – 1), then find the value of \(\left[ {\frac{{\left\{ {{{\left( {\frac{{\rm{A}}}{{\rm{B}}}} \right)}^2}{\rm{\;}} + {\rm{\;}}{{\left( {\frac{{\rm{B}}}{{\rm{A}}}} \right)}^2}{\rm{\;}} + {\rm{\;}}1} \right\}}}{{\left\{ {{{\left( {\frac{{\rm{A}}}{{\rm{B}}}} \right)}^2}{\rm{\;}} + {\rm{\;}}{{\left( {\frac{{\rm{B}}}{{\rm{A}}}} \right)}^2} - 1} \right\}}}} \right]\).
1
3/4
2
4/3
3
5/3
4
3/5