What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x

Answer:
c. [tex]x^7\sqrt x[/tex]
Step-by-step explanation:
Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.