Question

quadratic and polynomial functions
simplifying a quotient of square roots
simplify.
\\(\frac{\sqrt{50}}{\sqrt{2}}\\)

Explanation:

Step1: Use quotient rule for square roots

The quotient rule for square roots states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ (where $a\geq0$ and $b > 0$). Applying this to $\frac{\sqrt{50}}{\sqrt{2}}$, we get $\sqrt{\frac{50}{2}}$.

Step2: Simplify the fraction inside the square root

Simplify $\frac{50}{2}$: $\frac{50}{2}=25$. So now we have $\sqrt{25}$.

Step3: Evaluate the square root

The square root of 25 is 5, since $5\times5 = 25$.

Answer:

5