Question
Answer
$$\dfrac{34\sqrt{2185}}{\sqrt{1242}}=\dfrac{17\sqrt{570}}{9}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{34\sqrt{2185}}{\sqrt{1242}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{34\sqrt{2185}}{\sqrt{1242}}\frac{\sqrt{1242}}{\sqrt{1242}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2346\sqrt{570}}{1242} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 2346 \sqrt{ 570 } : \color{blue}{ 138 } } { 1242 : \color{blue}{ 138 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{17\sqrt{570}}{9}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{1242}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ 34 \sqrt{2185} } \cdot \sqrt{1242} = 2346 \sqrt{570} $$ Simplify denominator. $$ \color{blue}{ \sqrt{1242} } \cdot \sqrt{1242} = 1242 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 138 } $. |
This page was created using
Rationalize Denominator Calculator