ivancastro8
ivancastro8 ivancastro8
  • 01-07-2019
  • Mathematics
contestada

Which of the following is equivalent to the radical expression below when
X>0?

Which of the following is equivalent to the radical expression below when Xgt0 class=

Respuesta :

carlosego
carlosego carlosego
  • 11-07-2019

For this case we must simplify the following expression:

[tex]\frac {\sqrt {10x ^ 3}} {\sqrt {5x}}[/tex]

We combine the expression in a single radical:

[tex]\sqrt {\frac {10x ^ 3} {5x}} =[/tex]

We eliminate common factors of the numerator and denominator:

[tex]\sqrt {\frac {2x ^ 3} {x}} =\\\sqrt {2x ^ 2} =[/tex]

By definition of power properties we have to:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

[tex]\sqrt {2x ^ 2} = x \sqrt {2}[/tex]

Answer:

Option A

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