anahijpizanoeguigure
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  • 23-02-2022
  • Mathematics
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What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x

What is the simplest form of x15 A x6x3 B x7 C x7x D x6x class=

Respuesta :

carosm12 carosm12
  • 23-02-2022

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.

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