Question

Which choice is equivalent to the expression below when x≥ 0?

√32x³-√√16x³+4√x³-√√2x³
OA. 3√2x
OB. √18x3
O c. 3x√2x
OD. 4x√2x

Answer 1

To find an equivalent expression to the given expression when x≥ 0, you can simplify each radical expression step by step and combine them to get the equivalent expression.

Step-by-step explanation:

To find an equivalent expression to the given expression √32x³-√√16x³+4√x³-√√2x³ when x≥ 0, we can simplify each radical expression step by step.

1. √32x³ simplifies to 2√8x² = 4x√2x.
2. √√16x³ simplifies to (16x³)^(1/4) = 2x√√x.
3. 4√x³ remains the same.
4. √√2x³ simplifies to (2x³)^(1/4) = x√x.

Combine all the simplified radical expressions: 4x√2x + 2x√√x + 4√x³ + x√x.

Therefore, the choice that is equivalent to the given expression when x≥ 0 is option C. 3x√2x.

Learn more about Equivalent expression using radical simplification