Question

prove that 2+5 underoot 3 is irrational​

Answer 1

Step-by-step explanation:

Prove that 2 + 5√3 is an irrational number

Numbers (C10)

Prove that 2 + 5√3 is an irrational number, given that √3 is an irrational number.

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.

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Answer 2

Answer:

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