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prove that 15+17 root 3 is …

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prove that 15+17 root 3 is irrational

Posted by Lizyba 28 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 10 months ago

Let 15 + 17√3 is a rational number.

p/q = 15 + 17√3 q is not equal to zero

p and q are integers.

p/q = 15 + 17√3

=> p - 15/q = 17√3

Rational number = Irrational number

This is contridication.

Hence , 15 + 17√3 is an irrational number

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CBSE > Class 10 > Mathematics