42510011 0010 1010 1101 0001 0100 1011

Adding/Subtracting Radical Expressions

White Board Practice

4251

0011 0010 1010 1101 0001 0100 1011Adding & Subtracting Radicals

1. 2√2 + 3√2

2. 2√25 + √36

3. √25 - √9

4. 2√72 - 3√2

Warm Up – Thursday, Sept 16

4251

0011 0010 1010 1101 0001 0100 1011

Question # 1

2 2 6 2

Add or Subtract

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 1

8√2

4251

0011 0010 1010 1101 0001 0100 1011

Question # 2

10 6 10

Add or Subtract

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 2

-5√10

4251

0011 0010 1010 1101 0001 0100 1011

Question # 3

Add or Subtract

4√x - 5√5x

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 3

It is in simplest form

4√x - 5√5x

4251

0011 0010 1010 1101 0001 0100 1011

Question # 4

Add or Subtract

-8√3d + 6√2d + 10√3d

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 4

2√3d + 6√2d

4251

0011 0010 1010 1101 0001 0100 1011

Question # 5

Add or Subtract

9√y - √y

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 5

8√y

4251

0011 0010 1010 1101 0001 0100 1011

Question # 6

3 11 5 6 5 11

Add or Subtract

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 6

4√11 + -5√5

4251

0011 0010 1010 1101 0001 0100 1011

Question # 7

Add or Subtract

3√8 + √45

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 7

6√2 + 3√5

4251

0011 0010 1010 1101 0001 0100 1011

Question # 8

Add or Subtract

2√80 - √20

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 8

6√5

4251

0011 0010 1010 1101 0001 0100 1011

Question # 9

√63 + √175 + √112

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 9

12√7

4251

0011 0010 1010 1101 0001 0100 1011

Question # 10

The length of the side of a bulletin board is 4 ft, what is the area of the bulletin board?

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 10

16 square feet

4251

0011 0010 1010 1101 0001 0100 1011

Question # 11

For high school wrestling competitions, the wrestling mat must be a square with an area of 625 square feet. What is the length of each side of the mat?

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 11

25 feet

4251

0011 0010 1010 1101 0001 0100 1011

Question # 12

Simplify each expression.

20 - √16

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 12

16

4251

0011 0010 1010 1101 0001 0100 1011

Question # 13

Simplify each expression.

√100

√4

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 13

5

4251

0011 0010 1010 1101 0001 0100 1011

Question # 14

Simplify each expression.

√49

7

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 14

1

4251

0011 0010 1010 1101 0001 0100 1011

Question # 15 Simplify each expression.

2√64 + 5

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 15

21

4251

0011 0010 1010 1101 0001 0100 1011

Question # 16 Simplify each expression.

48 3 18 2 27p p p

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 16 Simplify each expression.

9 2 2 3p p

4251

0011 0010 1010 1101 0001 0100 1011

Question # 17 Simplify each expression.

2 75 12 108m m m

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 17 Simplify each expression.

2 3m

4251

0011 0010 1010 1101 0001 0100 1011

Question # 18

Error Analysis: Determine if the

student worked the problem incorrectly

below. If the problem is

incorrect, please re-work the problem

(show all work) and explain the error using details and math vocabulary.

3√6 + 2√6

= 5√12

Correct or Incorrect?

You decide……..

4251

0011 0010 1010 1101 0001 0100 1011

Answer # 16

The student worked the problem incorrectly

because he/she did not follow the rules for

adding and subtracting radicals. When the radicands

the same, you keep the radicand and add the coefficients together.

See corrected problem below:

3√6 + 2√6 - The radicands are the same so I was able to add the

Coefficients 3 and 2 get the answer 5. I left 6 as the radicand under the

Radical sign.

5√6

4251

0011 0010 1010 1101 0001 0100 1011

Quiz tomorrow over radicals……

STUDY…..STUDY……STUDY……

Good luck tomorrow!

One more thing……..

4251

0011 0010 1010 1101 0001 0100 1011

STUDY for the radical quiz tomorrow