Question

rationalise 5+√2 / 5-√2​

Answer 1

Thanks For the Question

Answer

Let's Slove the Problem :-

i am separating both the particular terms in individual brackets 

[√5-√2/√5+√2] - [√5+√2/√5-√2]

 now rationalizing both terms within their brackets 

we get, 

       { [(√5-√2/√5+√2) × (√5-√2/√5-√2)] - [(√5+√2/√5-√2) × (√5-√2/√5-√2)] }

      = [ (√5-√2)²/ (5-2)] - [(5-2)/(√5-√2)²]

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

      = [ (7-2√10)/3] - [ 3/(7-2√10) ]

      = [ 3.5 - 0.67(3.16/3)] - [ 0.42 - 1.5(3/3.16)]

      = [ 3.5 - 0.67(1.05)] - [0.42 - 1.5 (0.94)]

      = [ 3.5 - 0.7035] - [ 0.42 - 1.41]

      = [ 2.7965] - [-0.99] 

      = 2.7965 + 0.99

      = 3.7865

Answer 2

hope this helped............