garrettlafor garrettlafor
  • 26-03-2020
  • Mathematics
contestada

12 equals x times the square root of 2

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sqdancefan
sqdancefan sqdancefan
  • 26-03-2020

Answer:

  x = 6√2

Step-by-step explanation:

Divide by the coefficient of x, then rationalize the denominator.

  [tex]12=x\sqrt{2} \qquad\text{given}\\\\\dfrac{12}{\sqrt{2}}=x \qquad\text{divide by $\sqrt{2}$}\\\\\dfrac{12}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=x \qquad\text{rationalize the denominator}\\\\\boxed{x=6\sqrt{2}} \qquad\text{simplify}[/tex]

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