Question

simplify 2/(squareroot 5+squareroot 3)+1/(squareroot 2+squareroot 3)-3/(squareroot 5+squareroot2)

Answer 1

2/(√5+√3 )+1/(√2+√3) -3/(√5+√2) ={2*(√2+√3)+1*(√5+√3)}/(√5+√3)(√2+√3)-3/(√5+√2)=(2√2+2√3+√5+√3)/(√10+√15+√6+3 ) -3/(√5+√2) =(2√2+3√3+√5)/(√10+√15+√6+3) -3/(√5+√2)={(√5+√2)(2√2+3√3+√5)-3(√10+√15+√6+3)}/(√10+√15+√6+3)(√5+√2) =(2√10+3√15+5+4+3√6+√10-3√10-3√15-3√6-9)/(5√2+5√3+√30+3√5+2√5+√30+2√3+3√2=0/8√2+7√3+2√30+5√5=0