Learn how to add two radical expressions together

The video tutorial explains the process of simplifying radicals before performing addition or subtraction. It emphasizes the use of factor trees, particularly with square numbers, to simplify expressions. The tutorial also covers the importance of having the same radicand and index when combining like terms, providing a step-by-step example to illustrate the process.

What is the first step to take when simplifying radicals before adding or subtracting them?

• Ensure the radicands and roots are the same

• Convert all numbers to decimals

• Add all coefficients first

• Multiply the radicands

What is the advantage of using a factor tree with square numbers?

• It helps in converting to decimals

• It allows for easier multiplication

• It simplifies the process of taking square roots

• It reduces the number of steps needed

When using a factor tree, what should you do after breaking down the expression into square numbers?

• Add the square numbers together

• Take the square root of each square number

• Multiply the square numbers

• Convert them to fractions

What must be true for terms to be combined when adding or subtracting radicals?

• The terms must be in decimal form

• The terms must be in fraction form

• The radicands and roots must be the same

• The coefficients must be equal

In the final example, what is the result of combining 8X sqrt 2 and 18X sqrt 2?

• 26X sqrt 4

• 26X sqrt 2

• 24X sqrt 2

• 24X sqrt 4