Question
Answer
$$\dfrac{\sqrt{105}}{\sqrt{363}}=\dfrac{\sqrt{35}}{11}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{105}}{\sqrt{363}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{105}}{\sqrt{363}}\frac{\sqrt{363}}{\sqrt{363}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{33\sqrt{35}}{363} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{35}}{11}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{363}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{105} } \cdot \sqrt{363} = 33 \sqrt{35} $$ Simplify denominator. $$ \color{blue}{ \sqrt{363} } \cdot \sqrt{363} = 363 $$ |
| ③ | Divide both numerator and denominator by 33. |
This page was created using
Simplify Radical Expression