Answer:
[tex]\large \boxed{\sf \ \ \sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=5x^3\sqrt{6} \ \ }[/tex]
Step-by-step explanation:
Hello,
First, of all, as x is positive we know that:
[tex](\sqrt{x})^2=|x|=x[/tex]
Let's simplify the expression:
[tex]\sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=\sqrt{3}\cdot x^2\cdot \sqrt{5}\cdot x\cdot \sqrt{2\cdot 5}=x^3\cdot \sqrt{3\cdot 5\cdot 5 \cdot 2}\\ \\=5x^3\sqrt{6}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
