Solving Radical Equations

This video tutorial explains how to solve a radical equation, specifically focusing on the square root of a variable equaling a number. The instructor demonstrates the process of eliminating the square root by squaring both sides of the equation, leading to a solution. The video concludes with a verification of the solution to ensure its correctness.

What is the main focus of the video?

• Introduction to geometry

• Introduction to calculus

• Introduction to solving a radical equation

• Introduction to algebraic expressions

What is the given radical equation in the video?

• The square root of x equals 5

• The square root of v equals 6

• The cube root of v equals 6

• The square root of v equals 5

What is the value of v in the equation?

• v is a complex number

• v is an integer

• v is a real number

• v is an imaginary number

How can the square root be removed from the equation?

• By dividing both sides by 6

• By squaring both sides

• By subtracting 6 from both sides

• By adding 6 to both sides

What operation would be used if the equation had a cube root?

• Add 3 to both sides

• Subtract 3 from both sides

• Cube both sides

• Square both sides

What happens to the square root on the left side after squaring?

• It doubles

• It becomes a cube root

• It cancels out

• It remains unchanged

What is the result of squaring 6 on the right side of the equation?

• 12

• 18

• 30

• 36

What is the value of v after solving the equation?

• 18

• 36

• 12

• 6

What is the purpose of squaring both sides of the equation?

• To simplify the equation

• To change the equation to a cube root

• To eliminate the square root

• To add complexity to the equation

What is the first step in solving the radical equation?

• Add 6 to both sides

• Subtract 6 from both sides

• Square both sides

• Divide both sides by 6