your Given that us i irrational, prove that 5 √3-2 is an irrational number. Question yourGiven that us i irrational, prove that5 √3-2 is an irrational number. in progress 0 Math Mia 4 weeks 2021-08-17T10:24:53+00:00 2021-08-17T10:24:53+00:00 2 Answers 0 views 0

## Answers ( )

Step-by-step explanation:Let 5√3-2 be a rational no.

Adding 2 which is a rational no.

5√3-2+2. (Addition of two rational no. is always rational)

=5√3

Multiplying 1/5 which is a rational no. Then,

5√3×1/5 (Multiplication of 2 rational no. is always a rational no.)

=√3.

So, √3 is a rational no.

But, we know that √3 is an irrational no.

So, it contradicts that our supposition was wrong.

It means (5√3-2) is an irrational no.

Step-by-step explanation:Explanatory Answer

That contradicts the fact that √2 is irrational. The contradiction is because of the incorrect assumption that (5 + 3√2) is rational. So, 5 + 3√2 is irrational..

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