solve the question please question is if a= root 5 - 3 / root 5 + root 3 and B = root 5 + root 3 / root 5 -, root 3 find a + b + ab
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Answer:
9
Step-by-step explanation:
Question : a= √5-√3/√5+√3 , b = √5+√3 / √5- √3
Find a+b+ab
= √5-√3/√5+√3 + √5+√3 / √5- √3 + √5-√3/√5+√3 × √5+√3 / √5- √3
= √5-√3/√5+√3 + √5+√3 / √5- √3 + 1
[ a =√5-√3/√5+√3 ×√5-√3/√5-√3
= 8+2√15 / 2 = 4+√15
b = √5+√3/√5-√3 ×√5+√3 / √5+√3
= 8-2√15 /2 = 4-√15. ]
= 4+√15 + 4-√15 +1
= 8+1 (√15 cancels with - √15)
=9
Therefore
a+b+ab = 9
HOPE THIS HELPS YOU
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