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Chapter 10.1

100

1. Convert the following into radical form:

5 to the power of 1/2 + x to the power of 5/2

√5 + x²√x

200

1. Simplify the following:

The square root of 25

5

300

1. Simplify the following:

The square root of 16

4

400

1. Simplify the following:

The square root of 125

5√5

500

Who is the creator of this game?

Hobbs

Chapter 10.2

100

1. Simplify the following:

The square root of 3 times the square root of 3    

3

200

1. Simplify the following:

The cubed root of 27 times the cubed root of 27    

9

300

1. Simplify the following:

(25 times the square root of 4) squared    

 2,500

400

1. Simplify the following:

The squared root of 3abc times the square root of 6bc

3bc√2a

500

This question comes from 10.6. 

1. Simplify the following:

The square root of 5 times ( the square root of 7 + the square root of 4)

 

√35+2√5

Chapter 10.3

100

1. Simplify the following:

The square root of 36/6    

6/1

200

1. Simplify the following:

The cubed root of 5 over the cubed root of 2

3

√20/2

300

1. Simplify the following:

6 and the square root of 9b over the square root of 3b cubed

6√3/b

400

How do you rationalize the denominator of a fraction?

By removing irrational roots from the denominator by multiplying both the fraction by a number that makes the denominator a rational number

500

This comes from chapter 10.6   

1. Simplify the following:

The square root of 49 times ( the square root of 10 - the square root of 8)

 

7√10−14√2

Chapter 10.4

100

1. Simplify the following:

The square root of 12 + the square root of 7

2√3+√7

200

1. Simplify the following:

The square root of 27 + the square root of 3 over the square root of 3 

3√3+1

300

1. Simplify the following:

5 and the cubed root of 9 + 6 and the cube root of 9 over 11 and the cubed root of 9

1

400

What is a like radical? How can you combine them?

Like radicals are radical expressions that have the same index and radicand. You can combine them using the distributive property

500

This question comes from 10.6    What is a radical expression?

An algebraic expression with at least one radical

Chapter 10.5

100

What is the formula for the Pythagorean Theorem?

 a squared plus b squared = c squared

200

1. Find the missing length using the Pythagorean Theorem:

6, 8    

10

300

What is a theorem?

A statement that is proven to be true

400

1. Find the missing length using the Pythagorean Theorem:

3 squared + b=  5 squared

4 squared or 16

500

This question comes from 10.7    

1. Solve the following:

The square root of x = 2

4