Question

if 4/a=a^2/16 then find a is a rational or irrational number​

Answer 1

Answer:

Step-by-step explanation:

4/a = a^2 /16

4/a = a^2/4^2

4/a = (a/4)^2

Hence we can say that a is rational

Answer 2

Answer:

'a' is a rational number .

Step-by-step explanation:

Given :

We are given that

$\frac{4}{a}=\frac{a^2}{16}$

To Find :

Whether 'a' is rational or irrational

Solution :

According to the question :

$\frac{4}{a}=\frac{a^2}{16}$

cross multiplying we get

$a^2 \cdot a=16\ \text{x} \ 4$

$a^3=64$

$a=64^{\frac{1}{3}$

$a=4$

Hence we get a = 4 .(which can be written in $\frac{P}{Q}$ form where  $Q\neq0$  )so a = 4 is clearly rational number .

#SPJ2