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rationalize the denominator x=root5-2 by root5+2 y=root5+2 by root5-2 find x^2+y^2+xy

Posted by Swetha Swetha 7 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Saijal Kumari 7 years, 7 months ago

X=(√5-√2) ÷(√5+√2) =(√5-√2)^2 ÷( √5)^2 -(√2)^2 =(7-2√10)÷3 Smlly y=(7+2√10)÷3 X^2={(7-2√10)÷3}^2 =(89-28√10)÷9 Smlly y^2=(89+28√10)÷9 Xy={(7-2√10)÷3}×{(7+2√10)÷3} =1 A\Q =x^2+y^2+xy Putting the value =187÷9

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CBSE > Class 09 > Mathematics