Simplify the following expressions: 1. 7/√7 2. 12/√3

Here are the solutions to the problems:

1.

Step 1: Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{7}$.

$$\frac{7}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{7\sqrt{7}}{7}$$

Step 2: Simplify the expression.

$$\frac{7\sqrt{7}}{7} = \sqrt{7}$$

The simplified expression is $\boxed{\sqrt{7}}$.

2.

Step 1: Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{3}$.

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