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Show that 5-2√3irrantion number

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Show that 5-2√3irrantion number

Posted by Digraj Chouhan 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Avinash Saigal 6 years, 11 months ago

assume that 5-2 root 3 is rational 5-2 root 3 = a/b , where a and b are integers . -2 root 3 = a/b - 5 2 root 3 = 5 - ab 2 root 3 = 5b/b - a/b root 3 = 5b - a / 2b we know that a, b , 2 and 5 are integers and they are also rational therefore root 3 will be rational but we know that root 3 is irrational there is a contradiction so, 5 - 2 root 3 is an irrational number. Thank you??

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CBSE > Class 10 > Mathematics