Learn how to add two radical expressions by simplifying first

The video tutorial explains how to rewrite expressions as square terms and simplify them. It guides students through the process of combining like terms by identifying common indices and radicands. The teacher provides a step-by-step explanation to help students understand the simplification process, ensuring they can follow along and apply the concepts independently.

What is the first step in rewriting an expression as square terms?

• Multiply all terms by 2

• Express numbers as products of squares

• Add all coefficients

• Divide by the square root

How do you simplify the expression 5^2 * 3?

• By adding 5 and 3

• By multiplying 5 by 3

• By taking the square root of 5^2

• By subtracting 3 from 5

What is the result of simplifying sqrt(2^2) * sqrt(3)?

• 2 * sqrt(3)

• 2 + sqrt(3)

• sqrt(6)

• 3 * sqrt(2)

When can you add the coefficients of two terms?

• When the indices are different

• When the coefficients are equal

• When the radicands are different

• When both indices and radicands are the same

What is the final simplified form of 15 sqrt(3) + 4 sqrt(3)?

• 19 sqrt(9)

• 19

• 19 sqrt(6)

• 19 sqrt(3)