shyanne8359 shyanne8359
  • 11-10-2019
  • Mathematics
contestada

Simplify each expression as much as possible, and rationalize denominators when applicable. . √54x^2=?

Respuesta :

lpabono
lpabono lpabono
  • 14-10-2019

Answer:

[tex]\sqrt{54x^{2}} = 3x\sqrt{6}[/tex]

Step-by-step explanation:

We have

[tex]\sqrt{54x^{2}}[/tex] this equals to

[tex]\sqrt{3.3.3.2.x^{2} }[/tex]  now we try to agrupate to have exponent of 2 that we can cancel

[tex]\sqrt{3^{2}.3.2x^{2}}[/tex]  we can take out the ones with exponent from the root

[tex]3x\sqrt{3.2} \\= 3x\sqrt{6}[/tex]

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