Question

I NEED THIS ASAP !! GIVING 15 POINTS, BRAINS AND 5 STARS IF CORRECT.

Answer 1

Answer:

A ⇒ rational

B ⇒ irrational

C ⇒ rational

D ⇒ rational

E ⇒ rational

F ⇒ irrational

G ⇒ rational

Step-by-step explanation:

* Lets explain what is the rational and irrational numbers

- A number is rational if we can write it as a fraction where the top

 number of the fraction (numerator) and bottom number (denominator)

 are both whole numbers.

- Ex: 0 , 2 , 13/7 , 0.245 , 0.33333 (repeated decimal)

- An irrational number is any number that is not rational.

- It is a number that cannot be written as a ratio of two integers

- An irrational number can be written as a decimal, but not as a fraction

- An irrational number has endless non-repeating digits to the right of

 the decimal point

- Ex: √5 , π , √2/4 , 5/√7

* Lets solve the problem

# A ⇒ 11/3

∵ 11/3 is a fraction and 11 , 3 are integers

∴ 11/3 is a rational number

* A ⇒ rational

# B ⇒ √48

∵ The simplest form of √48 is 4√3

∵ √3 is an irrational number

∴ 4√3 is also an irrational number

* B ⇒ irrational

# C ⇒ 6.25

∵ 6.25 an be written as 625/100 where 625 and 100 are integers

∴ 6.25 is rational number

* C ⇒ rational

# D ⇒ 0.01045

∵ 0.01045 an be written as 1045/100000 where 1045 and 100000

   are integers

∴ 0.01045 is rational number

* D ⇒ rational

# E ⇒ √(16/81)

∵ √16 = 4 and √81 = 9

∴ √(16/81) = √16/√81 = 4/9

∵ 4/9 is a fraction and 4 , 9 are integers

∴ √(16/81) is rational number

* E ⇒ rational

# F ⇒ √(3/16)

∵ √16 = 4

∴ √(3/16) = √3/√16 = √3/4

∵ √3 is an irrational number

∴ √3/4 is also irrational number

∴ √(3/16) is irrational number

* F ⇒ irrational

# G ⇒ 0.42 and a line over 42

∵ The line over 42 means 42 is repeated

∵ The repeated decimals are rational number

∴ 0.42 and line over 42 is rational number

* G ⇒ rational