Which of these is an irrational number.

Question

A. √150
B. √441
C. √200
D. √250

Ok I worked it out like this
√150= 12.24 (12)
√441= 21.07 (21)
√200= 14.14 (14)
√250= 15.81 (16)

Ok I can't figure this out. What exactly does rational and irrational mean I'm getting so confused right now. Could someone help me understand? I have two others that I needed help with but I want to understand this one first. Please help me to understand. I would appreciate it very very much. I feel so lost right now....

Answer 1

An irrational number is a real number that cannot be written as a simple fraction.

√150 = √ ( 25 * 6 ) = √25 * √6 = 5 √6

√6 cannot be written as a simple fraction so √150 = 5 √6 is an irrational number

√441 = √ (21^2 ) = 21

√200 = √ (100 * 2 ) = √100 √2 = 10 √2

√2 cannot be written as a simple fraction so √200 = 10 √2 is an irrational number

√250 = √ ( 25 * 10 ) = √25 √10 = 5 √10

√10 cannot be written as a simple fraction so √250 = 5 √10 is an irrational number

√150 , √200 and √250 are an irrational numbers.

Answer 2

Ok I'm still lost I only can choose one answer. I'm so confused

Answer 3

What about Bosnian's answer don't you understand? Which answer can be boiled down without a square root sign?

Answer 4

the actual question is which one is a rational number, so, thank you bosnian.

Answer 5

Are yall really asking which is a Rational number? there's four numbers
A) 150
B) 441
C) 200
D) 250
And he said 150 200 and 250 are irrational, so CLEARLY 441 is a rational number, how dumb