Question

prove that 5-√2 is an irrational number
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Answer 1

Answer:

solve:- Let us assume the contrary that 5-√2 is rational.

5-√2= a/b [a and b are co- prime]

-√2=a/b -5

-√2=a-b6/b

a-b6/b is in the form of p/q then is it rational.

But, we know that √2 is Irrational.

so, this contradiction is arisen because our incorrect assumption.

Then 5-√2 is Irrational.

I hope it's helpful for you