Simplify the radical. Assume that all variables represent positive real numbers. $\sqrt { 44 x ^ { 7 } }$
A) $4 x ^ { 6 } \sqrt { 11 x }$
B) $2 \sqrt { 11 x ^ { 7 } }$
C) $2 x ^ { 3 } \sqrt { 11 x }$
D) $2 x \sqrt { 11 x ^ { 5 } }$

Question

Quizplus · Accepted Answer

The expression $\sqrt { 44 x ^ { 7 } }$ can be simplified by factoring inside the radical to separate perfect squares from the rest. $44 = 4 \times 11$ and $x^7 = x^6 \times x$, where $4$ and $x^6$ are perfect squares. Thus, $\sqrt { 44 x ^ { 7 } } = \sqrt { 4 \times 11 \times x^6 \times x } = \sqrt { 4 } \sqrt { x^6 } \sqrt { 11x } = 2 x^3 \sqrt { 11x }$.

Simplify the Radical 44x7\sqrt { 44 x ^ { 7 } }44x7​

Simplify the Radical $\sqrt { 44 x ^ { 7 } }$