Multiply and simplify. Assume that all variables represent positive real numbers.
-$6 \sqrt { 2 } \cdot 5 \sqrt { 6 }$
A) $60 \sqrt { 3 }$
B) $120 \sqrt { 3 }$
C) $60 \sqrt { 6 }$
D) $30 \sqrt { 12 }$

Question

Quizplus · Accepted Answer

When multiplying square roots, you can multiply the numbers outside the square roots together and the numbers inside the square roots together separately. So, $6 \sqrt{2} \cdot 5 \sqrt{6} = 30 \sqrt{12}$. Simplifying $\sqrt{12}$ to $2\sqrt{3}$ gives $30 \cdot 2\sqrt{3} = 60\sqrt{3}$.

Multiply and Simplify 62⋅566 \sqrt { 2 } \cdot 5 \sqrt { 6 }62​⋅56​

Multiply and Simplify $6 \sqrt { 2 } \cdot 5 \sqrt { 6 }$