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show that root 11 + root 7 is irrational

Posted by Manasvi Bhalki 3 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Ananya Tiwari 3 years, 7 months ago

√11+√7 Let, a= √11+√7 a= √11+√7 a-√11=√7 (a-√11)²=(√7)² a²-2√11a+11²=49 a² -2√11a+121 = 49 a²-2√11a+121-49=0 a²-2√11a+72=0 but √11 is irrational number so √11+√7 is an irrational number

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Posted by Hari Anand 5 months ago

CBSE > Class 10 > Mathematics