Use the product rule to multiply. Assume all variables represent positive real numbers.
-$\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$
A) $100 x ^ { 2 }$
B) $\sqrt [ 4 ] { 7000 x ^ { 3 } }$
C) $\sqrt { 7000 x ^ { 3 } }$
D) $7000 \mathrm { x } ^ { 3 }$

Question

Quizplus · Accepted Answer

The product rule for radicals states that $\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$. Applying this rule, we get $\sqrt[4]{7x^3} \cdot \sqrt[4]{1000} = \sqrt[4]{7x^3 \cdot 1000} = \sqrt[4]{7000x^3}$.

Use the Product Rule to Multiply 7x34⋅10004\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }47x3​⋅41000​

Use the Product Rule to Multiply $\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$