I'm having trouble understanding dividing and multiplying radical expressions

Question

I am also confused on how to figure out if a problem equals x > 0 or x >_ 0

                                                                     

Answer 1

Step 1:

The expression is .

Division property of radicals : .

Rewrite the expression

Division property of radicals : .

Cancel the common terms.

Division property of radicals: .

.

Option (A) is the correct answer.

Solution :

.

Comments

How do I find the domain of a radical expression?

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Step 1:

The radical expression is .

The domain of a function is all values of , those makes the function mathematically correct.

Since there shouldn't be any negative numbers in the square root.

The expression should be zero or positive.

Therefore domain of radical is  .

Solution :

The domain of radical is  .