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# Algebra Examples

Step 1

Set the radicand in greater than or equal to to find where the expression is defined.

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation:

Interval Notation:

Set-Builder Notation:

Step 2

Replace the variable with in the expression.

Simplify the result.

Remove parentheses.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

The final answer is .

Step 3

The radical expression end point is .

Step 4

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

Remove parentheses.

Any root of is .

The final answer is .

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

Remove parentheses.

The final answer is .

The square root can be graphed using the points around the vertex

Step 5