Question

simplify. $\frac{sqrt{7}}{sqrt{28}}$

Explanation:

Step1: Simplify the denominator

Factor 28 into $4 \times 7$, so $\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}$

Step2: Substitute back into the fraction

$\frac{\sqrt{7}}{\sqrt{28}} = \frac{\sqrt{7}}{2\sqrt{7}}$

Step3: Cancel common terms

Cancel $\sqrt{7}$ from numerator and denominator: $\frac{\sqrt{7}}{2\sqrt{7}} = \frac{1}{2}$

Answer:

$\frac{1}{2}$