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Combine and simplify the following radical expression.
(2^3 square root 12) (3^3 square root 2)

Sagot :

olayemiolakunle65

Answer:

432[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given: ([tex]2^{3}[/tex][tex]\sqrt{12}[/tex])([tex]3^{3}[/tex][tex]\sqrt{2}[/tex])

 = (8[tex]\sqrt{4*3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (8*2[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (16[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

So that;

16 x 27 x [tex]\sqrt{3}[/tex] x [tex]\sqrt{2}[/tex]

 = 432[tex]\sqrt{6}[/tex]

Thus the radical expression given can be simplified as 432[tex]\sqrt{6}[/tex]

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