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if x=3+2root 2find root x+root 1÷x

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if x=3+2root 2find root x+root 1÷x

Posted by Sakshi Priya 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Adeel Khan 8 years, 7 months ago

x=(3+2√2), then √x=√(3+2√2), √x=√(2+1+2√2), √x=√[(√2)²+(1)²+2×√2×1], √x=√(√2+1)², √x=(√2+1), therefore √x+1/√x =(x+1)/√x, √x+1/√x =(3+2√2+1)/(√2+1), √x+1/√x =(4+2√2)/(√2+1), √x+1/√x =(4+2√2)(√2-1), √x+1/√x = (4√2-4+4-2√2), √x+1/√x =2√2

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CBSE > Class 09 > Mathematics