xaviercruz177 xaviercruz177
  • 16-04-2018
  • Mathematics
contestada

Simplify 24x5 y6 . A) 2x2 y3 6x B) 4x2 y3 6x C) 6x2 y3 4x D) 6x2 y3 2x

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lisboa lisboa
  • 29-08-2018

Answer : A [tex] 2x^2y^3\sqrt{6x} [/tex]

[tex] \sqrt{ 24x^5y^6} [/tex]

Take square root for each term and simplify it

[tex] \sqrt{24} *\sqrt{x^5} *\sqrt{y^6} [/tex]

[tex] \sqrt{24}=\sqrt{4 * 6} = 2\sqrt{6} [/tex]

[tex] \sqrt{x^5} = x^2\sqrt{x} [/tex]

[tex] \sqrt{y^6} = y^3 [/tex]

so we will get

[tex] 2\sqrt{6} * x^2\sqrt{x} * y^3 [/tex]

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

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