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Prove that 4+5√3 is irrational, given …

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Prove that 4+5√3 is irrational, given that √3 is irrational.

Posted by Himanshi Mathur 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 10 months ago

let 4+ 5√3 be a rational number.
4 + 5√3= a/b where a and b are co primes
5√3=a/b-4
5√3=a-4b/b
a-4b/b- 5=√3
But this contradiction is wrong therefore 4+5√3 is a irrational number.

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