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

Question

asked Oct 26, 2023 126k views

1 Answer

Roxton · Answer 1 · 2023-11-02T13:57:23+0000

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