Simplify the expression. Assume all variables represent positive real numbers.
-$$\frac { \sqrt { 252 } } { 7 } - \frac { 2 \sqrt { 7 } } { 7 } + \frac { \sqrt { 7 } } { \sqrt { 49 } }$$
A) $\frac { 7 \sqrt { 7 } } { 7 }$
B) $\frac { 5 \sqrt { 7 } } { 49 }$
C) $- \frac { \sqrt { 245 } } { 7 }$
D) $\frac { 5 \sqrt { 7 } } { 7 }$

Question

Quizplus · Accepted Answer

First, simplify each term: $\frac{\sqrt{252}}{7} = \frac{\sqrt{36*7}}{7} = \frac{6\sqrt{7}}{7}$, $\frac{2\sqrt{7}}{7}$ remains the same, and $\frac{\sqrt{7}}{\sqrt{49}} = \frac{\sqrt{7}}{7}$. Combining these gives $\frac{6\sqrt{7}}{7} - \frac{2\sqrt{7}}{7} + \frac{\sqrt{7}}{7} = \frac{5\sqrt{7}}{7}$.

Simplify the Expression 2527−277+749\frac { \sqrt { 252 } } { 7 } - \frac { 2 \sqrt { 7 } } { 7 } + \frac { \sqrt { 7 } } { \sqrt { 49 } }7252​​−727​​+49​7​​

Simplify the Expression $\frac { \sqrt { 252 } } { 7 } - \frac { 2 \sqrt { 7 } } { 7 } + \frac { \sqrt { 7 } } { \sqrt { 49 } }$