Exploring Simplifying Radicals with a Birthday Cake Theme

In this video, Math Girl introduces the concept of simplifying radicals using the upside down birthday cake method. She explains the process with examples, demonstrating how to handle both numbers and variables. Paige assists in solving practice problems, and the video concludes with an advanced example. The method involves dividing the number under the radical until reaching a 'candle' and identifying 'twins' to simplify the expression.

What is the simplified form of the square root of 4?

• 2

• 4

• 16

• 8

In the 'Upside Down Birthday Cake' method, what do you do when you reach a 'candle'?

• Multiply the factors

• Start over

• Stop dividing further

• Add the factors

What is the simplified form of the square root of 75 using the 'Upside Down Birthday Cake' method?

• 75

• 7 radical 5

• 5 radical 3

• 3 radical 5

How is the square root of 8 simplified using the method discussed?

• 8

• 2 radical 2

• 2 radical 4

• 4 radical 2

What is the result of simplifying the square root of 200 using the method?

• 20 radical 2

• 10 radical 2

• 100

• 200

What is the final simplified form of the square root of 8 as taught in the video?

• 2 radical 2

• 4 radical 2

• 8

• 2 radical 4

When a number outside the radical is involved, how do you handle it in the 'Upside Down Birthday Cake' method?

• Divide it by the outside number obtained

• Multiply it by the outside number obtained

• Subtract it

• Ignore it

What happens to variables under the radical when simplifying using the method?

• They are halved

• They are squared

• Pairs are taken out, singles stay inside

• All variables are removed

What is the simplified form of x to the power of 3 under the radical?

• 3x

• x

• x squared

• x radical x

How is the expression 27x to the 5th simplified using the method?

• 9x squared

• 3x radical 3x

• 3x squared radical x

• 27x