Question

please simplify the above​

Answer 1

1/(2 + √3) + 1/(√5 - √3) - 1/(2 - √5)

= (2 - √3)/(2 + √3)(2 - √3) + (√5 + √3)/(√5 - √3)(√5 + √3) - (2 + √5)/(2 - √5)(2 + √5)

= (2 - √3)/(4 - 3) + (√5 + √3)/(5 - 3) - (2 + √5)/(4 - 5)

= (2 - √3) + (√5 + √3)/2 - (2 + √5)/-1

= (2 + √3) + (√5 + √3)/2 + (2 + √5)

= (4 + 2√3)/2 + (√5 + √3)/2 + (4 + 2√5)/2

= (4 + 2√3 + √5 + √3 + 4 + 2√5)/2

= (8 + 3√3 + 3√5)/2

= 4 + (3√3 + 3√5)/2