Answer:
[tex]6x^3[/tex]
Step-by-step explanation:
We want to simplify [tex]\sqrt{\frac{2,160x^8}{60x^2} }[/tex]
We can rewrite this using property of multiplication to obtain:
[tex]\sqrt{\frac{2,160}{60}\times \frac{x^8}{x^2}}[/tex]
We simplify variable expression in the radicand using [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]\sqrt{36\times x^{8-2}}[/tex]
[tex]\sqrt{36\times x^6}[/tex]
[tex]\sqrt{36\times (x^{3})^2}[/tex]
[tex]\sqrt{36}\times \sqrt{(x^{3})^2}[/tex]
[tex]6\times x^{3}[/tex]
[tex]6\times x^3[/tex]
Therefore the simplified form is
[tex]6x^3[/tex]
