your Given that us i irrational, prove that 5 √3-2 is an irrational number.​

Question

your
Given that us i irrational, prove that
5 √3-2 is an irrational number.​

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Mia 4 weeks 2021-08-17T10:24:53+00:00 2 Answers 0 views 0

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    0
    2021-08-17T10:25:59+00:00

    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.

    0
    2021-08-17T10:26:17+00:00

    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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