Simplify Square Roots
Challenge
Dealers Choice
45-45-90 Triangles
30-60-90 Triangles
100

Simplify the following radical completely.

sqrt(16/36

What is 2/3

100

Determine the side length y.


What is 

4sqrt5

100

Determine the length of y.

What is 8?

100

Find the length of the hypotenuse of the triangle below.



What is 3√2?

100

Find the missing side length.


What is 1√3?

200

Simplify the following radical completely.

sqrt(2/25

What is 

(sqrt2)/5

200

Determine the side length m.

What is 

(7sqrt2)/2

200

Determine the side lengths of the triangle below.

what is 

2sqrt3

200

Find the other leg of the triangle below.

What is 8?

200

Find the length of the side IR.


What is 7?

300

Simplify the following radical completely.

What is 2/9?

300

Determine the side length a.


What is 

(3sqrt3)/2

300

Determine the side length v.

What is 

8sqrt3

300

Find the length of the diagonal.


What is 8√2?

300

Find the hypotenuse.


What is 12?

400

Simplify the following radical completely.

sqrt(49/3


What is 

(7sqrt3)/3

400

Determine the side length x.

What is 

4sqrt15

400

Determine the length of x.

What is 8√3?

400

Find the hypotenuse of the triangle below.

What is 6?

400

Find y.


6sqrt3

500

Simplify the following radical completely.

sqrt(2/7)

(sqrt14)/7

500

Determine the side length x.

What is 

8sqrt3

500

Determine the side length y.

What is 

4sqrt5

500

What is the pattern used for a 45-45-90 triangle?

What is x ,  x ,  x√2 ?

500

What is the pattern used for a 30-60-90 triangle?

What is x , x√3, 2x ?