Question

I would like to know in depth how to solve this problem and learn how to solve on my own

Answer 1

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

`\sqrt[]{6x}+0=\sqrt[]{6x}`

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.