Question

If x=5-2√6, find the value of √x+1/√x

Answer 1

Answer:

given that

x=5-2√6

1/x= 1/(5-2√6) =5+2√6

x + 1/x = 5-2√6 +5 +2√6= 5+5 = 10

{√x+1/√x}²=x + 1/x +2

now insert the value of x in RHS

WE GET

{√x+1/√x}²= x + 1/x +2

{√x+1/√x}²= 10 +2

{√x+1/√x}²=12

{√x+1/√x}=√12

hence √x+1/√x = √12

Step-by-step explanation: