Question

Find the sum of \sqrt{4}√ ​4 ​ ​​ and 3\sqrt{9}3√ ​9 ​ ​​ in simplest form. also, determine whether the result is rational or irrational and explain your answer.

Answer 1

√​4 + 3√​9 = 2+3*3  = 11.

This is a rational number, since the answer can be express as a fraction (e.g., 11/1).

This does not hold for square roots in general. For example √3 is irrational.