ISEE Upper Level | k3w2wxw | Question Irrational Numbers ...

Mathematics Achievement

Irrational Numbers in Mixed Expressions

Hard Number Operations Irrational Numbers

Consider the expression $$rac{1}{ ext{sqrt}(x)} + ext{sqrt}(x)$$, where $$x$$ is a positive rational number.

Which of the following statements is true?

The expression can be simplified to a rational number.

The expression will always yield an irrational number.

The expression is undefined for positive values of $$x$$.

The expression can take on both rational and irrational values depending on $$x$$.

Submitted13.1K

Correct6.9K

% Correct52%