Dividing Radicals Including Conjugates

Labelling

Label with the Diagram

Drag labels to their correct position on the image

Hippie

Radicand

Number

x

Radical Sign

Degree

n

Categorize

Options (15)

2

3

5

7

11

13

4

6

8

9

10

12

1

0

Pizza

Match the following

Prime

Composite

Neither (Weird Egg)

Food

Math Response

Simplify the $$\sqrt[]{50}$$ using the Birthday Cake Method.

(Hint: Find the Plastic Sleeve in the Back with the Birthday Cake on it!!)

Type answer here

Correct Answer: 5\sqrt{2}

Deg^°

Rad

Math Response

Simplify the $$\sqrt[]{180}$$ using the Birthday Cake Method.

(Hint: Find the Plastic Sleeve in the Back with the Birthday Cake on it!!)

Type answer here

Correct Answer: 6\sqrt{5}

Deg^°

Rad

Multiple Choice

What is the conjugate of $$a\ +\ \sqrt[]{b}$$

• $$a\ -\ \sqrt[]{b}$$

• $$\sqrt[]{b}-a$$

• $$a-b$$

• $$a+\sqrt[]{b}$$

Multiple Choice

What is the conjugate of $$2\ +\ \sqrt[]{7}$$

• $$2\ -\ \sqrt[]{7}$$

• $$\sqrt[]{2}-7$$

• $$2-7$$

• $$2+\sqrt[]{7}$$

Math Response

Simplifying the expression using the conjugate.

$$\frac{1}{5\ +2\sqrt[]{3}}$$

Type answer here

Correct Answer: \frac{1}{13}

Deg^°

Rad

Multiple Choice

Simplifying the expression using the conjugate.

$$\frac{1+2\sqrt[]{3}}{2\ -3\sqrt[]{5}}$$

• $$-\left(\frac{2+3\sqrt[]{5}+4\sqrt[]{3}+6\sqrt[]{15}}{41}\right)$$

• $$\left(\frac{2+3\sqrt[]{5}+4\sqrt[]{3}+6\sqrt[]{15}}{41}\right)$$

• $$-\left(\frac{2-3\sqrt[]{5}-4\sqrt[]{3}-6\sqrt[]{15}}{41}\right)$$

• $$\left(\frac{2-3\sqrt[]{5}-4\sqrt[]{3}-6\sqrt[]{15}}{41}\right)$$

Open Ended

Okay, listen up, you bunch of soggy waffles! Here's what we learned today:

Radicals are just fancy roots

The birthday cake method helps simplify radicals

Conjugates are evil twins that help us get rid of radicals in denominators

Radicals show up in construction, music, and finance (boring!)

Name one real world use of radicals?