Use the distributive property to help simplify the expression. $9 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }$
A) $28 \sqrt { 2 }$
B) $40 \sqrt { 2 }$
C) $33 \sqrt { 2 }$
D) $31 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

First, simplify each term under the square root using the distributive property. $9 \sqrt{50} = 9 \sqrt{25 \cdot 2} = 9 \cdot 5 \sqrt{2} = 45\sqrt{2}$. $5 \sqrt{8} = 5 \sqrt{4 \cdot 2} = 5 \cdot 2 \sqrt{2} = 10\sqrt{2}$. So, the expression becomes $45\sqrt{2} - 2\sqrt{2} - 10\sqrt{2} = 33\sqrt{2}$.

Use the Distributive Property to Help Simplify the Expression 950−22−589 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }950​−22​−58​

Use the Distributive Property to Help Simplify the Expression $9 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }$