What is 3√(18) + 2√(50) simplified? F.19√(2) G.39√(2) H.77√(2) I. 90√(2) IF THERE IS WORK PLEASE SHOW THANKS:)

Question

What is
`3√(18)` +
`2√(50)` simplified?

F.
`19√(2)`

G.
`39√(2)`

H.
`77√(2)`

I.
`90√(2)`

IF THERE IS WORK PLEASE SHOW THANKS:)

Answer 1

`\bf 3√(18)+2√(50)\qquad \begin{cases} 18=2\cdot 3\cdot 3\\ \qquad 2\cdot 3^2\\ 50=2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2 \end{cases}\implies 3√(2\cdot 3^2)+2√(2\cdot 5^2) \\\\\\ 3\cdot 3√(2)+2\cdot 5√(2)\implies 9√(2)+10√(2)\implies 19√(2)`