# How do you simplify \sqrt { 98x ^ { 4} y ^ { 6} z ^ { 23} }?

May 10, 2017

$7 {x}^{2} {y}^{3} {z}^{11} \sqrt{2 z}$

#### Explanation:

Factor the inside of the radical to

$2 \cdot 7 \cdot 7 \cdot {x}^{2} \cdot {x}^{2} \cdot {y}^{3} \cdot {y}^{3} \cdot {z}^{11} \cdot {z}^{11} \cdot z$

then for each pair of terms, move them outside the radical to get

$7 \cdot {x}^{2} \cdot {y}^{3} \cdot {z}^{11}$

which leaves unmatched $2$ and $z$ inside the radical.