Simplify (4+√5)/(4-√5) + (4-√5)/(4+√5)
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Given, (4 +√5)/(4 -√5) + (4 -√5)/(4 +√5)
On rationalizing we get,
= (4 +√5)(4 +√5)/(4 -√5)(4 +√5) + (4 -√5)(4 -√5)/(4 +√5)(4 -√5)
= 21 + 8 root 5/11 + 21 - 8 root 5/11
= 21 + 8 root 5 + 21 - 8 root 5 /11
= 42/11
Hope this helps!
On rationalizing we get,
= (4 +√5)(4 +√5)/(4 -√5)(4 +√5) + (4 -√5)(4 -√5)/(4 +√5)(4 -√5)
= 21 + 8 root 5/11 + 21 - 8 root 5/11
= 21 + 8 root 5 + 21 - 8 root 5 /11
= 42/11
Hope this helps!
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