prove that 3root2 – 2root3 is irrational Please give answer with explanation​

Question

prove that 3root2 – 2root3 is irrational
Please give answer with explanation​

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Mary 3 weeks 2021-08-20T19:05:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-20T19:06:58+00:00

    Step-by-step explanation:

    Let 3-√2 be a rational number hence, 3-√2=a/b,where a and b are integers and b is not equal to 0…

    3-√2=a/b

    √2=a/b-3

    =√2=a-3b/b

    here a-3b/b are rational numbers as a and b are integers but √2 is irrational numbers.

    Therefore,the contradiction we suppose is wrong hence,3-√2 is irrational numbers.

    0
    2021-08-20T19:07:31+00:00

    when we subtract an irrational number from another irrational number, the difference is also irrational.

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