How do you find the domain when the radical is in the numerator and denominator

The video tutorial explains how to handle equations with multiple radicals by considering constraints. It covers solving inequalities, graphing solutions on a number line, and understanding compound inequalities. The focus is on ensuring all constraints are met simultaneously, using visual aids like number lines to illustrate the solution set.

What is the first step when dealing with multiple radicals in an equation?

• Ignore the radicals and solve directly.

• Add all radicals together.

• Subtract the radicals from each other.

• Consider the constraints for each radical.

When solving the inequality 2 - X > 0, what is the valid range for X?

• X > 2

• X ≤ 2

• X < 2

• X = 2

Why is it necessary to square both sides of an inequality involving radicals?

• To eliminate the radical and simplify the inequality.

• To ensure the inequality has no solution.

• To make the inequality more complex.

• To change the inequality into an equation.

What does an open circle on a number line indicate?

• The number is included in the solution.

• The number is not included in the solution.

• The number is the only solution.

• The number is a midpoint.

In compound inequalities, what is the significance of the intersection of solutions?

• It represents the union of all possible solutions.

• It shows the range where all constraints are satisfied.

• It is irrelevant to the final solution.

• It indicates the midpoint of the solutions.