Question

Identify the following as rational or irrational numbers. give the decimal representation of rational numbers A)root4 B)3root18 C)root 9÷27 D)root100 ​

Answer 1

Answer:

A.rational because the value of under root 4 is 2

B.irrational because it is non terminating non recurring

C.irrational because division through irrational no. is irrational

D.value of under root 100 is 10 so it is rational

Answer 2

$\sf \underline\red{Solution:}$

a) √4

√4 = 2, which can be written in the form of a/b. Therefore, it is a rational number.

Its decimal representation is 2.0.

b) 3√18

3√18 = 9√2

Since, the product of a rational and an irrational number is an irrational number.

Therefore, 3√18 is an irrational.

Or 3 × √18 is an irrational number.

c)√9/27

√9/27 = 1/√3

Since, we know, quotient of a rational and an irrational number is irrational numbers, therefore, √9/27

is an irrational number.

d) √100

√100 = 10

Since, 10 can be expressed in the form of a/b, such as 10/1,

Therefore, √100 is a rational number.

And it’s decimal representation is 10.0.

$\sf \blue{Thanks}$