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lesya [120]
2 years ago
10

12 equals x times the square root of 2

Mathematics
1 answer:
garik1379 [7]2 years ago
4 0

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}

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