Solving Equations with Square Roots

The video tutorial explains how to solve an equation with two square roots by isolating one square root, squaring both sides to eliminate it, expanding and simplifying the equation, and then solving for the remaining square root. The solution is verified by substituting it back into the original equation. The importance of checking solutions when dealing with square roots is emphasized.

What is the main strategy for solving an equation with square roots?

• Divide both sides by a variable.

• Get rid of all the square roots.

• Multiply both sides by a constant.

• Add more square roots to both sides.

Which square root is isolated first in the problem?

• The one on the right.

• The one on the left.

• Both square roots simultaneously.

• Neither square root is isolated.

What operation is performed to eliminate a square root from one side of the equation?

• Adding a constant.

• Squaring both sides.

• Subtracting a variable.

• Taking the cube root.

What method is used to expand the expression (3 + √(x - 3))^2?

• Applying the distributive property.

• Using the quadratic formula.

• Using FOIL method.

• Factoring the expression.

After expanding, what is the result of multiplying the square root terms?

• The square root remains.

• The square root is doubled.

• The square root is halved.

• The square root is eliminated.

What is the next step after simplifying the expanded expression?

• Multiply both sides by a constant.

• Add more terms to both sides.

• Isolate the remaining square root.

• Divide both sides by a variable.

What is the value of x after solving the equation?

• x = 2

• x = 3

• x = 4

• x = 5

Why is it important to check the solution in equations with square roots?

• To simplify the equation further.

• To verify the solution satisfies the original equation.

• To ensure the solution is a whole number.

• To find additional solutions.

What is the result of checking the solution x = 4 in the original equation?

• The solution needs to be adjusted.

• The solution satisfies the equation.

• The solution does not satisfy the equation.

• The solution is incorrect.