Question

prove that 15+17√3 is an irrational number. Where √3 is an irrational number​

Answer 1

Answer:

Let see your answer !!!!

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.

Answer 2

Answer:

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Step-by-step explanation:

let us assume 15+17√3 as an rational number and a, b are Co primes.

15+17√.3=a/b

17√3=a-15/b

√3=a-15/17b

therefore a-15/17b is rational so as √3

but √3is an irrational number.

Therefore 15+17√3is an irrational Number.