Solving Radical Equations: A Step-by-Step Approach

In this tutorial, Mr. Mason Ed demonstrates how to solve equations containing radicals. The video covers various examples, starting with simple equations and progressing to more complex ones involving radicals on both sides and additional terms. The tutorial emphasizes the importance of isolating the variable and balancing the equation by performing the same operations on both sides. Key techniques include squaring both sides to eliminate radicals and rearranging terms to simplify the equation. The video concludes with a summary of the methods used and encourages viewers to practice these techniques.

What is the value of x if the square root of x equals 4?

• 16

• 8

• 4

• 2

How do you isolate x in the equation √(x - 5) = 0?

• Add 5 to both sides

• Subtract 5 from both sides

• Square both sides

• Divide both sides by 5

What is the value of x if √(x - 5) = 0?

• 5

• 0

• 25

• 10

In the equation √(x + 4) = 3, what is the first step to isolate x?

• Add 4 to both sides

• Divide both sides by 3

• Square both sides

• Subtract 4 from both sides

What is the value of x in the equation √(x + 4) = 3?

• 5

• 9

• 25

• 1

How do you handle an equation with radicals on both sides, such as √(x + 3) = √(4x - 3)?

• Square both sides

• Add the radicals

• Subtract the radicals

• Divide both sides by the radicals

What is the value of x in the equation √(x + 3) = √(4x - 3)?

• 2

• 3

• 5

• 4

In the equation √(x) = 3√(8x + 16), what is the first step to isolate x?

• Square both sides

• Add 16 to both sides

• Subtract 16 from both sides

• Divide both sides by 3

What is the value of x in the equation √(x) = 3√(8x + 16)?

• 16

• 32

• 8

• 4

How do you solve the equation √(9x^2 + 2x - 4) = 3x?

• Square both sides

• Divide both sides by 3

• Add 4 to both sides

• Subtract 4 from both sides