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Prove root5 - root3 as irrational

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Prove root5 - root3 as irrational

Posted by Siddhant Waghmare 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sahith Panga 4 years, 6 months ago

Let us assume that root5-root3 is not an irrational number So root5-root3 is rational number Therefore root5-root3=a/b b=a/root5-root3=a/root5-root3*root5+root3/root5+root3=a(root5+root 3) /2 b=a(root5+root 3)/2 It is impossible since rational number b is equal to irrational number a(root5+root 3)/2 So our assumption is wrong Therefore root 5-root 3is irrational number

5Thank You

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Posted by Hari Anand 2 months, 4 weeks ago

CBSE > Class 10 > Mathematics