Question

Prove that 15+17√3 be an irrational number.

Answer 1

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Answer 2

Answer:

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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.