Question

Show that 2 - 3 √2 is an irrational number.

Answer 1

Answer:

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Let 2-√3 be rational no.

So,2-√3=p/q

-√3=p/q-2

Since,a and b are integers,a/b-2 is a rational number and

therefore,-√3 is a rational no.

but this contradicts the fact that it is a irrational number.

This contradiction arises as we have assumed 2-√3 a rational number.

So,2-√3 is a irrational no.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

( 2 - 3√2 ) is rational number, 2 is rational number. ... This contradicts the fact that - 3√2 is irrational number . The contradiction arises by assuming that ( 2 - 3√2 ) is rational number is wrong . Hence, ( 2 - 3√2 ) is an irrational number.