Irrational Thoughts
Root of the Problem
x_pwnent_x
Order to Chaos
I Fought the Law
100

Which of these is a rational number?
{-3.111..., sqrt(12), cbrt(15), 4.1245246...}

-3.111...

100

I know the area of a square field. I need to know the length. What do I do?

Square Root

100

Write this in exponential form:12x12x12x12x12

12^5

100

5^2[(10+2)/6]

50

100

Solve the following:
2^8/2^2

2^6 = 64

200

True or false: whole numbers are not included in integers.

False

200

sqrt(64)

8 and -8

200

Please label the base and the exponent:
5^11

Base: 5
Exponent: 11

200
[30 - (2x5(5+1) - 3)]

-27

200

(3^7 x 3^4)/3^8

27

300

What is the product of a rational number times a rational number?

A rational number

300

-sqrt(225) x 5 + 4

-71

300

Simply the following to exponential form:
4x4x3x3x2x1x3x4x5

4^3 x 3^3 x 1 x 5

300

2(2+3)^2 + (3-1x2)^3

51

300

[(-8)^3 x (7)^4]/[(8)^3 x (7)^2]

-49

400

True or false: the product of two irrational numbers could become a whole number.

True (ex: √327 and √1)

400

sqrt(144)/[sqrt(49)+sqrt(25)]^2

1/12 =0.0833 

400

Please simply:

(3^2 + 5^2)^0

1

400

Fill in the operations (+, -, x, /) so that answer is -56
12^2 ___ 2 ___ sqrt(10)^3

12^2 - 2 x sqrt(10)^3

400

[(-2^3)/(-2^2)]^3

2^3 or 8

500

Please order the following from smallest to largest:
{-(15^2), 32, sqrt(69), 3, -sqrt(49)}

-(15^2), -sqrt(49), 3, sqrt(69), 32

500

sqrt(64)*sqrt(64)+2(sqrt(4))

68

500

Which of these three is the biggest?

(-3/2)^4
(2/3)^0
-(2/3)^3

(-3/2)^4

500

Please fill in the operations (+, -, x, /) so that the answer is 35
8 __ (3 ___ 22) ___ 5 ___ 5

[8 x (3+22)÷5] - 5

500

Reduce the following expression:
[(3^4 x 3^5)/(3 + 6)]^2

3^14

500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500