Question
Answer
$$\dfrac{\sqrt{114}}{\sqrt{38}}=\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{114}}{\sqrt{38}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{114}}{\sqrt{38}}\frac{\sqrt{38}}{\sqrt{38}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{38\sqrt{3}}{38} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{\sqrt{3}}{1} \xlongequal{ } \\[1 em] & \xlongequal{ }\sqrt{3}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{38}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{114} } \cdot \sqrt{38} = 38 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{38} } \cdot \sqrt{38} = 38 $$ |
| ③ | Divide both numerator and denominator by 38. |
This page was created using
Rationalize Denominator Calculator