SOLUTION
Given the question in the image, the following is the solution steps to get the correct property of real numbers used:
Step 1: Write out the given equation
[tex]\sqrt[]{6x}+0=\sqrt[]{6x}[/tex]Step 2: Define the given operations given in the options
Identity property of multiplication: The identity property of multiplication says that the product of 1 and any number is that number. Here's an example: 7 × 1 = 7.
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The identity property of addition says that the sum of 0 and any number is that number. Here's an example: 0 + 4 = 4.
Step 3: Pick the definition that tallies with the equation in step 1.
It can be seen that the definition of identity property of addition tallies with the given equation. Hence, Option D is the correct option.
