Prove that the reciprocal of 15+17√3 is irrational,given that√3 is irrational.
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Let us assume that 15+17root 3 is rational.
Let a and b be two co- prime integers.
Such that 15+17root3=a/b
17root 3=a/b-15
Therefore; due to the wrong assumption that 15+17root3 is rational.
Hope it helps you !
Let us assume that 15+17root 3 is rational.
Let a and b be two co- prime integers.
Such that 15+17root3=a/b
17root 3=a/b-15
Therefore; due to the wrong assumption that 15+17root3 is rational.
Hope it helps you !
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