Ncert maths 9th std
Root 3+ root2divided by root3-root 2 ratioalize the denominator
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Answer:
5 + 2√6
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Root3+root2÷root3-root2
By rationalising the denominator
= [(Root3+root2)×(root3+root2)]÷
[(Root3-root2)×(root3+root2)]
= (Root3+root2)^2 ÷ [(root3)^2-(root2)^2]
= [(Root3)^2+(root2)^2+2(root3)(root2)]÷(3-2)
In numerator we use the identity of whole square of a and b and in denominator we use identity of (a+b)(a-b)
=(3+2+2root6)÷1
=5+2root6
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