Question

Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:
(i) ($\sqrt{4}$)

(ii) $3\sqrt{18}$

(iii) $\sqrt{1.44}$

(iv) $\sqrt{\frac{9}{27}}$

(v) $-\sqrt{64}$

(vi) $\sqrt{100}$

Answer 1

(i) Given number is x =

x = 2, which is a rational number

(ii) Given number is

$3\sqrt{18}=3\sqrt{3\times 3\times 2}=3\times 3\sqrt{2}=9\sqrt{2}$

So it is an irrational number

(iii) Given number is

Now we have to check whether it is rational or irrational

So it is a rational

(iv) Given that

Now we have to check whether it is rational or irrational

So it is an irrational number

(v) Given that

Now we have to check whether it is rational or irrational

Since,

So it is a rational number

(vi) Given that

Now we have to check whether it is rational or irrational

Since,

So it is rational number