this is the question im stuck on. can anyone help please!!"Can a radical ever be rational? Give examples. Justify your answer using complete sentences."
Accepted Solution
A:
Answer: Yes, radicals can be rationals.Step-by-step explanation: Yes, a radical can be rational. If a square root is a perfect square, you will obtain an integer, and by definition, the integer are rationals (they can be written as simple fractions). Example: [tex]\sqrt{4}=2=\frac{2}{1}[/tex] If the radical has a root n and number inside of the root can be written as a power with exponent [tex]n[/tex], then you will obtain a radical. Example: [tex]\sqrt[3]{64}=\sqrt[3]{4^{3}}=4=\frac{4}{1}[/tex]