$\sqrt{5z^2}$ $\sqrt{15z^6}$
You asked:
Evaluate the expression: \(\sqrt{5 \cdot {z}^{2}} \cdot \sqrt{15 \cdot {z}^{6}}\)
MathBot Answer:
\[\sqrt{5 \cdot {z}^{2}} \cdot \sqrt{15 \cdot {z}^{6}} = 5 \sqrt{3} \sqrt{z^{2}} \sqrt{z^{6}}\]
If the variable\(z\) is real, then: \[5 \sqrt{3} \sqrt{z^{2}} \sqrt{z^{6}} = 5 \sqrt{3} \left|{z^{3}}\right| \left|{z}\right|\]