Simplify $\frac { 2 } { \sqrt { 8 } }$ by rationalizing the denominator.
A) $\frac { 2 } { 2 \sqrt { 2 } }$
B) $\frac { 1 } { \sqrt { 2 } }$
C) $\frac { \sqrt { 2 } } { 2 }$
D) $\frac { 2 \sqrt { 8 } } { 8 }$

Question

Quizplus · Accepted Answer

Rationalizing the denominator of $\frac { 2 } { \sqrt { 8 } }$ involves multiplying both the numerator and the denominator by $\sqrt { 8 }$ to eliminate the square root in the denominator. However, a simpler approach is to recognize that $\sqrt { 8 } = \sqrt { 4 \cdot 2 } = 2\sqrt { 2 }$, making the expression $\frac { 2 } { 2\sqrt { 2 } }$. Simplifying this gives $\frac { \sqrt { 2 } } { 2 }$, as the 2s in the numerator and denominator cancel out.

Simplify 28\frac { 2 } { \sqrt { 8 } }8​2​

Simplify $\frac { 2 } { \sqrt { 8 } }$