rationalize root 2 upon root 5 + root 3
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*Answer* = 1
Step-by-step explanation:
(Question):: √2 / √5 + √3
By Rationalization process :
= (√2) / (√5 + √3) × (√5 - √3) / (√5-
√3)
=(√2)×(√5 - √3)/(√5 + √3)×(√5-√3)
= (√10 - √6) / (√5)^2 - (√3)^2
____By identity 3rd.
(a+b) (a-b)= a^2-b^2
= √4 / √5×√5 - √3×√3
= √4 / 5-3
= 2 / 2
= 1
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