Question

What is this expression in simplified form? 5√2• 9√6 A 90 B. 45√2 C 45√3 D 90√3

Answer 1

$\begin{gathered} 5\cdot\sqrt[]{2}\cdot9\cdot\sqrt[]{6} \\ 45\cdot\sqrt[]{12}^{} \end{gathered}$

rewrite 12 as descomponed factors

$45\cdot\sqrt[]{2^2\cdot3}$

simplify the expression

$\begin{gathered} 45\cdot2\cdot\sqrt[]{3} \\ 90\cdot\sqrt[]{3} \end{gathered}$