Question
Answer
$$\sqrt{1477}\cdot\sqrt{175}=35\sqrt{211}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{1477}\cdot\sqrt{175}& \xlongequal{ }\sqrt{258475} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}} \sqrt{ 1225 \cdot 211 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \sqrt{ 1225 } \cdot \sqrt{ 211 } \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}35\sqrt{211}\end{aligned} $$ | |
| ① | Factor out the largest perfect square of 258475. ( in this example we factored out $ 1225 $ ) |
| ② | Rewrite $ \sqrt{ 1225 \cdot 211 } $ as the product of two radicals. |
| ③ | The square root of $ 1225 $ is $ 35 $. |
This page was created using
Simplify Radical Expression