157k views
5 votes
Simply 15√90/√125(please try to be quick bc I have 2 minutes)

User Vikk
by
4.9k points

1 Answer

5 votes

\frac{15\sqrt[]{90}}{\sqrt[]{125}}
\begin{gathered} \frac{15\text{ x }\sqrt[]{9}\text{ x}\sqrt[]{10}}{\sqrt[]{25}\text{ x}\sqrt[]{5}} \\ \end{gathered}


\frac{15\text{ x 3 x }\sqrt[]{10}}{5\text{ }\sqrt[]{5}}


\begin{gathered} \frac{45\sqrt[]{10}}{5\sqrt[]{5}} \\ \frac{9\sqrt[]{10}}{\sqrt[]{5}} \end{gathered}


\begin{gathered} \frac{9\sqrt[]{10}}{\sqrt[]{5}}\text{ x }\frac{\sqrt[]{5}}{\sqrt[]{5}} \\ \\ \frac{9\text{ }\sqrt[]{50}}{5} \end{gathered}
\begin{gathered} \frac{9\text{ x}\sqrt[]{25}\text{ x}\sqrt[]{2}}{5} \\ \\ \Rightarrow\frac{9\text{ x 5x }\sqrt[]{2}}{5} \\ \Rightarrow9\text{ }\sqrt[]{2} \end{gathered}

User JonCole
by
6.1k points