Simplify the expression. Assume all variables represent positive real numbers.
-$\frac { \sqrt { 98 } } { 7 } - \frac { 3 \sqrt { 2 } } { 7 } + \frac { \sqrt { 2 } } { \sqrt { 49 } }$
A) $\frac { 7 \sqrt { 2 } } { 7 }$
B) $- \frac { \sqrt { 96 } } { 7 }$
C) $\frac { 5 \sqrt { 2 } } { 49 }$
D) $\frac { 5 \sqrt { 2 } } { 7 }$

Question

Quizplus · Accepted Answer

First, simplify each term: $\frac{\sqrt{98}}{7} = \frac{\sqrt{49 \cdot 2}}{7} = \frac{7\sqrt{2}}{7}$, $\frac{3\sqrt{2}}{7}$ remains the same, and $\frac{\sqrt{2}}{\sqrt{49}} = \frac{\sqrt{2}}{7}$. Combining these gives $\frac{7\sqrt{2}}{7} - \frac{3\sqrt{2}}{7} + \frac{\sqrt{2}}{7} = \frac{5\sqrt{2}}{7}$.

Simplify the Expression 987−327+249\frac { \sqrt { 98 } } { 7 } - \frac { 3 \sqrt { 2 } } { 7 } + \frac { \sqrt { 2 } } { \sqrt { 49 } }798​​−732​​+49​2​​

Simplify the Expression $\frac { \sqrt { 98 } } { 7 } - \frac { 3 \sqrt { 2 } } { 7 } + \frac { \sqrt { 2 } } { \sqrt { 49 } }$