Question

Which of the following are like radicals? (Check all that apply.)

Option 1: 3x√(x^1. y)
Option 2: 2√x
Option 3: 4xy√x
Option 4: √3xy
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Answer 1

Like radicals have the same radicand and the same index. In this question, Option 1 and Option 2 are like radicals.

Step-by-step explanation:

In this question, we need to determine which of the given options are like radicals.

Like radicals are radicals that have the same radicand and the same index. The radicand is the expression inside the radical, and the index indicates what root is being taken.

Let's analyze each option:

1. Option 1: 3x√(x^1. y) - This is a like radical since it has the same radicand (x) and the same index (2).
2. Option 2: 2√x - This is also a like radical because it has the same radicand (x) and the same index (2).
3. Option 3: 4xy√x - This is not a like radical because it has a different radicand (xy) compared to the other options.
4. Option 4: √3xy - This is not a like radical because it has a different radicand (3xy) compared to the other options.