Question
Answer
$$\dfrac{\sqrt{17061}}{\sqrt{13900}}=\dfrac{11\sqrt{19599}}{1390}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{\sqrt{17061}}{\sqrt{13900}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{\sqrt{17061}}{\sqrt{13900}}\frac{\sqrt{13900}}{\sqrt{13900}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{110\sqrt{19599}}{13900} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{ 110 \sqrt{ 19599 } : \color{blue}{ 10 } } { 13900 : \color{blue}{ 10 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{11\sqrt{19599}}{1390}\end{aligned} $$ | |
| ① | Multiply the numerator and denominator by the conjugate of the denominator . $$\color{blue}{ \sqrt{13900}} $$. |
| ② | Multiply in a numerator. $$ \color{blue}{ \sqrt{17061} } \cdot \sqrt{13900} = 110 \sqrt{19599} $$ Simplify denominator. $$ \color{blue}{ \sqrt{13900} } \cdot \sqrt{13900} = 13900 $$ |
| ③ | Divide numerator and denominator by $ \color{blue}{ 10 } $. |
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