Question

If x is equals to 1 upon 3 minus root 5 then the value of under root x + 1 upon under root x is

Answer 1

Answer:

√x +  1/√x  = √(23 - 3√5)  / 2  =  2.02

Step-by-step explanation:

If x is equals to 1 upon 3 minus root 5 then the value of under root x + 1 upon under root x is

x = 1/(3 - √5)

Let say

y = √x + 1/√x

Squaring both sides

y² = x  + 1/x  + 2

=> y² =  1/(3 - √5)   + 3-√5  + 2

=>y² =  (3+√5)/(3 - √5)(3 + √5)    +  (5 - √5)

=> y² = (3 + √5)/(9 - 5)  +  (5 - √5)

=>  y² = (3 + √5)/4  +  (5 - √5)

=> y² = (3 + √5 + 20 - 4√5 )/4

=> y² = ( 23 - 3√5)/4

=> y = √(23 - 3√5)  / 2

=> √x +  1/√x  = √(23 - 3√5)  / 2

Answer 2

Answer:

same as above .........