Question

Evaluate \(\sqrt[3]{1372} \times \sqrt[3]{1458}\)

• A. 120
• B. 126
• C. 130
• D. 136

Hint:

When multiplying cube roots, you can simplify the expression by multiplying the numbers inside the cube root and then taking the cube root of the product.

Answer 1

The Correct Option is B

Step 1: Understanding the expression.
The problem asks us to evaluate the product of the cube roots of 1372 and 1458. This can be simplified using the property of cube roots: \[ \sqrt[3]{a} \times \sqrt[3]{b} = \sqrt[3]{a \times b} \]

Step 2: Multiply the numbers under the cube root.
We first multiply 1372 and 1458: \[ 1372 \times 1458 = 2000256 \]

Step 3: Take the cube root of the product.
Now, we find the cube root of 2000256: \[ \sqrt[3]{2000256} = 126 \]

Step 4: Conclusion.
Therefore, the correct answer is 126.

Final Answer: 126.