Eliassanchez2003 Eliassanchez2003
  • 13-04-2024
  • Mathematics
contestada

Perform the operations and simplify: √6x^3/√3x• √8x^2
A. √16x4
B. 4x2
C. 4x√x³
D. 16x4

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-04-2024

Answer:

  B.  4x²

Step-by-step explanation:

You want the simplified form of √(6x³)/√(3x) • √(8x²).

Simplify

Common factors can be canceled and perfect squares removed from under the radical.

  [tex]\dfrac{\sqrt{6x^3}}{\sqrt{3x}}\times\sqrt{8x^2}=\sqrt{\dfrac{(6x^3)(8x^2)}{3x}}=\sqrt{\dfrac{48x^5}{3x}}=\sqrt{16x^4}\\\\\\=\sqrt{(4x^2)^2}=\boxed{4x^2}\qquad\text{matches choice B}[/tex]

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