Rationalize the numerator and simplify. $\frac { \sqrt { 5 } } { 20 }$
A) $\quad \frac { 1 } { 4 \sqrt { 3 } }$
B) $\quad \frac { 1 } { 4 \sqrt { 5 } }$
C) $\quad \frac { 1 } { 8 \sqrt { 3 } }$
D) $\frac { 1 } { 4 \sqrt { 9 } }$
E) $\frac { 1 } { 5 \sqrt { 5 } }$

Question

Quizplus · Accepted Answer

To rationalize the numerator, we need to multiply both the numerator and denominator by the conjugate of the numerator, which is $\sqrt{5}$. This gives us:
$$\frac{\sqrt{5}}{20} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{5}{20\sqrt{5}} = \frac{1}{4\sqrt{5}}$$
Therefore, the answer is choice B.

Rationalize the Numerator and Simplify 520\frac { \sqrt { 5 } } { 20 }205​​

Rationalize the Numerator and Simplify $\frac { \sqrt { 5 } } { 20 }$