Question

12 equals x times the square root of 2

Answer 1

Answer:

  x = 6√2

Step-by-step explanation:

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

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