Multiply the radical expressions. $2 \sqrt { 5 } \cdot 2 \sqrt { 15 }$
A) $20 \sqrt { 3 }$
B) $4 \sqrt { 3 }$
C) $8 \sqrt { 5 }$
D) $100 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

When multiplying radical expressions, you multiply the coefficients together and the radicands together separately. Here, $2 \cdot 2 = 4$ and $\sqrt{5} \cdot \sqrt{15} = \sqrt{75}$. Simplifying $\sqrt{75}$ gives $\sqrt{25 \cdot 3} = 5\sqrt{3}$. Therefore, $4 \cdot 5\sqrt{3} = 20\sqrt{3}$.

Multiply the Radical Expressions 25⋅2152 \sqrt { 5 } \cdot 2 \sqrt { 15 }25​⋅215​

Multiply the Radical Expressions $2 \sqrt { 5 } \cdot 2 \sqrt { 15 }$