Simplifying and Classifying Irrational Numbers

Very Hard Number Operations Irrational Numbers

Consider the expression $$x =\frac{1 +\frac{1}{ ext{√2}}}{ ext{√2}}$$. Determine the value of $$x$$ and identify whether it is a rational or irrational number.

$$x = 1 + rac{1}{ ext{√2}}$$ and it is rational.

$$x = 1 + ext{√2}$$ and it is irrational.

$$x = ext{√2} $$ and it is irrational.

$$x = 1$$ and it is rational.

Hint

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