Rationalize the numerator and simplify. $\frac { \sqrt { 5 } } { 25 }$
A) $\quad \frac { 1 } { 10 \sqrt { 2 } }$
B) $\quad \frac { 1 } { 5 \sqrt { 5 } }$
C) $\quad \frac { 1 } { 5 \sqrt { 2 } }$
D) $\quad \frac { 1 } { 6 \sqrt { 5 } }$
E) $\frac { 1 } { 5 \sqrt { 10 } }$

Question

Quizplus · Accepted Answer

To rationalize the numerator, we need to multiply both the numerator and the denominator by $\sqrt{25}=5$. This gives us $\frac{\sqrt{5}\cdot \sqrt{25}}{25\cdot \sqrt{25}}=\frac{1}{5\sqrt{5}}$. Therefore, the simplified form is $\frac{1}{5\sqrt{5}}$, which is choice B.

Rationalize the Numerator and Simplify 525\frac { \sqrt { 5 } } { 25 }255​​

Rationalize the Numerator and Simplify $\frac { \sqrt { 5 } } { 25 }$