Write the quotient as the quotient of two radicals and simplify. $$- \sqrt { \frac { 20 } { 49 } }$$

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Quizplus · Accepted Answer

To simplify $- \sqrt { \frac { 20 } { 49 } }$, you first separate the numerator and the denominator under the square root, resulting in $- \frac{\sqrt{20}}{\sqrt{49}}$. Simplifying further, $\sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}$ and $\sqrt{49} = 7$, leading to the simplified form $- \frac { 2 \sqrt { 5 } } { 7 }$.

Write the Quotient as the Quotient of Two Radicals and Simplify