Question

if x =4√15/√5+√3 then find the value of x+√20/x-√20 + x+√12/x-√12

Answer 1

Answer:

I will answer this question.

Step-by-step explanation:

প্রদত্ত , x=4√15/ √5+√3

বা, x= 4√5.3 / √5√3

বা, x= 2.√20.√3 / √5√3

বা, x+√20/ x-√20 = 3√3+ √5 / √3-√5

আবার, x= 2√5.√12 / √5+√3

বা, x+√12 / x-√12 = 3√5+√3 / √5-√3

x+√20 / x-√20 + x+√12 / x-√12

= 3√3+√5-3√5-√3 / √3-√5

= 2( √3-√5) / √3-√5

= 2 ( proved)