Learn How to Square Both Side of an Equation to Solve with Square Roots

The video tutorial explains how to solve an equation involving square roots on both sides. The instructor demonstrates the process of isolating the square roots and then squaring both sides to eliminate them, resulting in a simpler equation. The solution is verified by substituting it back into the original equation. The instructor emphasizes the importance of checking solutions, as some problems may not have valid solutions.

What is the first step in solving an equation with square roots on both sides?

• Divide both sides by a constant

• Isolate the square roots

• Add a constant to both sides

• Multiply both sides by a variable

What happens when you square both sides of an equation containing square roots?

• The equation remains unchanged

• The equation becomes a quadratic

• The square roots are eliminated

• The equation becomes more complex

After squaring both sides, what is the resulting equation in the given problem?

• 3T + 1 = T + 20

• 3T + 1 = T + 10

• 3T + 1 = T + 15

• 3T + 1 = T + 5

What is the value of T after solving the simplified equation?

• 7

• 8

• 6

• 5

Why is it important to check your solution after solving the equation?

• To simplify the solution further

• To ensure the solution is a whole number

• To verify the solution satisfies the original equation

• To find alternative solutions