Question

Given the two expressions shown below:

A. \sqrt{3} +\sqrt{2}
B. \sqrt{3} +\sqrt{6}

Which statement best describes the two expressions?

Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.

Answer 1

`\sqrt3\ is\ irrational\\\\\sqrt2\ is\ irrational\\\\\sqrt6\ is\ irrational\\\\therefore\\\\A.\ \sqrt3+\sqrt2\ is\ irrational\ and\ B.\ \sqrt3+\sqrt6\ is\ irrational`
Answer: Both are irrational.