Question

question 3 two of the numbers look like square roots. one is rational, one isnt. identify which is which, and explain how you can tell - even without a calculator. enter your response here

Explanation:

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$. A non - rational (irrational) number cannot be written as such a fraction. Square roots of non - perfect squares are irrational. If a number is a perfect square (e.g., $\sqrt{4}=2=\frac{2}{1}$ is rational), its square root is rational. If it's not a perfect square (e.g., $\sqrt{3}$), it's irrational.

Answer:

The square root of a perfect square is rational. For example, $\sqrt{25} = 5=\frac{5}{1}$ is rational. The square root of a non - perfect square like $\sqrt{7}$ is irrational because it cannot be written as a fraction of two integers. Without seeing the actual numbers, if one number is the square root of a perfect square and the other is the square root of a non - perfect square, the square root of the perfect square is the rational one.