simplify. 4\\sqrt{28}

Explanation:

Step1: Factorize 28

$28 = 4\times7$

Step2: Rewrite the square - root

$4\sqrt{28}=4\sqrt{4\times7}$

Step3: Use the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 4$, $b = 7$)

$4\sqrt{4\times7}=4\times\sqrt{4}\times\sqrt{7}$

Step4: Evaluate $\sqrt{4}$

Since $\sqrt{4}=2$, then $4\times\sqrt{4}\times\sqrt{7}=4\times2\times\sqrt{7}$

Step5: Calculate the product

$4\times2\times\sqrt{7}=8\sqrt{7}$

Answer:

$8\sqrt{7}$