Problem 72
Question
Simplify the radical expressions if possible. $$\sqrt[3]{12} \cdot \sqrt[3]{4}$$
Step-by-Step Solution
Verified Answer
\( \sqrt[3]{48} \)
1Step 1: Multiply the radicands
Combine the two cube root expressions under one cube root by multiplying the radicands 12 and 4. This gives us \( \sqrt[3]{12 \cdot 4} \).
2Step 2: Simply the multiplication
Next, multiply the radicands together. This leaves us with \( \sqrt[3]{48} \).
3Step 3: Simplify the cube root
Simplify the cube root of 48 if possible. However, 48 doesn't have a perfect cube factor and hence can't be simplified further. Therefore, the final simplified form of the expression is \( \sqrt[3]{48} \).
Other exercises in this chapter
Problem 72
Find each product. $$ \left(7 x^{2} y+1\right)\left(2 x^{2} y-3\right) $$
View solution Problem 72
Simplify each complex rational expression. $$\frac{\frac{x+h}{x+h+1}-\frac{x}{x+1}}{h}$$
View solution Problem 72
Write each number in decimal notation without the use of exponents. $$6.8 \times 10^{-1}$$
View solution Problem 72
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. \(-26\) and \(-3\)
View solution