Question

Prove that 2+53√3 is an
irrational number, given
that √3 Is a irrational number.​

Answer 1

Answer:

Let 2 + 5√3 = a, where a is a rational number.

√3 = (a – 2)/5

Which is a contradiction as LHS is irrational and RHS is rational.

∴ 2 + 5√3 can not be rational.

Hence, 2 + 5√3 + is irrational.

Step-by-step explanation:

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