Question

Find the sum of 4v16 and v25 in simplest form. Also, determine whether the resultis rational or irrational and explain your answer.

Answer 1

so we need to solve:

`4\sqrt[]{16}+\sqrt[]{25}`
`\begin{gathered} \sqrt[]{16}=4 \\ \sqrt[]{25}=5 \\ 4\sqrt[]{16}=4\cdot4=16 \end{gathered}`

so:

`\begin{gathered} 4\sqrt[]{16}+\sqrt[]{25} \\ 16+5=21 \end{gathered}`

so the answer is: 21

and 21 is a rational number, can be written as the ratio of two integers and its decimal expansion does terminate