Question

Mathematics
12.
If x=8-√60, then
1/2[√x+2/√x]
is
1)√5
2)√3
3)2√5
4)2√3​

Answer 1

Step-by-step explanation:

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 )