Radical expressions and equations

simplifying

100

What is √36

6

200

What is √24

2√6

300

What is √81x⁸y⁶

9x⁴y³

400

What is √50x³y⁷

5xy³ √2xy

500

What is 5√(40x¹⁰y⁵)

10x⁵y²√10y

adding/subtracting

100

What is 3√12 + 4√12

7√12

200

8√3 - 5√3 + √3

4√3

300

What is 3√8 + 4√8 - √8

6√8 

400

What is 3√7 - √63

0

500

What is 3√45 - 8√20

-7√5

Pythagorean Theorem

100

What is C if A=9 and B=12 on a right triangle?

C=15

200

What is A  if B= 6 ft and C = 7.5 ft on a right triangle?  round your answer to the nearest tenth.

A = 4.5 ft

300

If the hypotenuse is length 25 ft and a leg is 24 ft, what is the length of the other leg?

7 ft

400

Can the following be the lengths of a right triangle?

14in, 50 in, 48 in

yes

500

What is the converse of the following statement?

If Kennan is thirsty, then he drinks water.

If Kennan drinks water, then he is thirsty. 

multiply and simplify

100

What is √2 *√36

6√2

200

5√2*6√5

30√10

300

2√8x * 3√4x

24x√2

400

5√3x³y⁶ * 5√2xy⁴

25√6x⁴y¹⁰ = 25x²y⁵ √6

500

(2+√8)(3 -√8)

-2+ 1√8

equations

100

√t + 2 = 9

t = 49

200

√n - 3 = 6

n = 81

300

√(10b + 6) = 6

b = 3

400

√(3m + 1) = √(7m - 9)

m = 2.5

500

x = √(2x+3)

x = 3

x = -1 is excluded