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