$\sqrt{5x^6}$ $\sqrt{10x^2}$
You asked:
Evaluate the expression: \(\sqrt{5 \cdot {x}^{6}} \cdot \sqrt{10 \cdot {x}^{2}}\)
MathBot Answer:
\[\sqrt{5 \cdot {x}^{6}} \cdot \sqrt{10 \cdot {x}^{2}} = 5 \sqrt{2} \sqrt{x^{2}} \sqrt{x^{6}}\]
If the variable\(x\) is real, then: \[5 \sqrt{2} \sqrt{x^{2}} \sqrt{x^{6}} = 5 \sqrt{2} \left|{x^{3}}\right| \left|{x}\right|\]