Use the distributive property to help simplify the expression. $$4 \sqrt { 125 } - 2 \sqrt { 5 }$$

Name: Use the distributive property to help simplify the expression. \[4 \sqrt { 125 } - 2 \sqrt { 5 }\]
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Quizplus · Accepted Answer

Using the distributive property, we can write $$4\sqrt{125}-2\sqrt{5} = 4\sqrt{5^3}-2\sqrt{5}$$ Then, using the rule that $\sqrt{a^b} = a^{b/2}$, we can simplify further. $$= 4\sqrt{5 \cdot 5^2}-2\sqrt{5}$$ $$= 20\sqrt{5} - 2\sqrt{5}$$ $$= 18\sqrt{5}$$ Thus, the answer is choice B.

Use the Distributive Property to Help Simplify the Expression 4125−254 \sqrt { 125 } - 2 \sqrt { 5 }4125​−25​

Use the Distributive Property to Help Simplify the Expression $4 \sqrt { 125 } - 2 \sqrt { 5 }$