Simplifying Radicals with the Birthday Cake Method

Simplifying Radicals with the Birthday Cake Method

Assessment

Interactive Video

Created by

Aiden Montgomery

Mathematics

6th - 10th Grade

Hard

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to simplify radicals in the video?

Birthday cake method

Division method

Prime factorization

Quadratic formula

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 80?

10 square root of 8

2 square root of 20

4 square root of 5

8 square root of 10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the square root of 80 using the birthday cake method?

Divide by 2

Find the prime factors

Circle pairs of numbers

Multiply the numbers outside the radical

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of circling pairs in the birthday cake method?

To find numbers to divide by

To identify prime numbers

To multiply numbers inside the radical

To factor numbers out of the radical

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'birthday candle' signify in the birthday cake method?

A pair of numbers has been circled

The end of the simplification process

The beginning of the process

A prime number has been found

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 120?

2 square root of 30

3 square root of 40

4 square root of 15

6 square root of 20

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many pairs of 2s are factored out in simplifying the square root of 120?

Four pairs

Three pairs

Two pairs

One pair

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of 3 times the square root of 128?

6 square root of 8

12 square root of 4

24 square root of 2

3 square root of 64

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many pairs of 2s are factored out in simplifying 3 times the square root of 128?

One pair

Four pairs

Two pairs

Three pairs

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What remains inside the radical when simplifying 3 times the square root of 128?

2

3

5

4

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