Question

simplify.
\\(\frac{\sqrt{28}}{\sqrt{7}}\\)

Explanation:

Step1: Use quotient rule for radicals

The quotient rule for radicals states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ (where $a\geq0$ and $b > 0$). So, $\frac{\sqrt{28}}{\sqrt{7}}=\sqrt{\frac{28}{7}}$.

Step2: Simplify the fraction inside the radical

Simplify $\frac{28}{7}$, which equals $4$. So now we have $\sqrt{4}$.

Step3: Evaluate the square root

The square root of $4$ is $2$, since $2\times2 = 4$.

Answer:

$2$