Rationalize the numerator and simplify. $\frac { \sqrt { 2 } } { 8 }$
A) $\quad \frac { 1 } { 8 \sqrt { 5 } }$
B) $\frac { 1 } { 4 \sqrt { 2 } }$
C) $\frac { 1 } { 4 \sqrt { 6 } }$
D) $\quad \frac { 1 } { 5 \sqrt { 2 } }$
E) $\frac { 1 } { 4 \sqrt { 5 } }$

Question

Quizplus · Accepted Answer

To rationalize the numerator, we need to multiply the fraction by a form of 1 that eliminates the radical in the numerator. In this case, we can multiply by $\frac{\sqrt{2}}{\sqrt{2}}$. This gives us:

$$\frac{\sqrt{2}}{8} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{2}{8\sqrt{2}}$$

Simplifying the denominator by factoring out 2, we get:

$$\frac{2}{8\sqrt{2}} = \frac{1}{4\sqrt{2}}$$

Therefore, the answer is B.

Rationalize the Numerator and Simplify 28\frac { \sqrt { 2 } } { 8 }82​​

Rationalize the Numerator and Simplify $\frac { \sqrt { 2 } } { 8 }$