Question

if x=8-root60,then 1/2(rootx+2/rootx)===​

Answer 1

Answer:

x = 8 - √60 = 8 - 2√15 = √3² + √5² -2√3.√5 = (√5 -√3)²

now ,

1/2 [ ( √x + 2)/√x ]

= 1/2[ {√(√5 -√3 )² +2}/√(√5 -√3)² ]

= 1/2[ ( √5 -√3 +2)/(√5 -√3)]

= 1/2 [ ( √5-√3 +2)(√5 +√3)/(√5² -√3²)]

= 1/2[ ( √5² -√3² +2√5 +2√3)/2 ]

= 1/2 ( √5 +√3 +1 )

Explanation: