Question

prove that 5-2 root 3 is an irrational number​

Answer 1

Answer

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Answer 2

Answer:

Let if possible 5-2√3 be rational. Then,

(5-2√3 is rational and 5 is rational )

{(5-2√3)-5} is rational (Difference of two rational number is always rational)

=2√3 is rational

Now,(2√3*1/2 ) is rational ( products of rational is rational)

= √3 is rational

Hence,it contradicts the fact that √3 is rational.

This contradiction arrises by assuming 5-2√3 are rational.

Thus,5-2√3 is irrational.

Step-by-step explanation:

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