Question

If 4/a =a^2/16 then find a is rational or irrational

Answer 1

Hey Mate,
Here's ur answer.
4/a=a^2/16
a^3=4^3
therefore a=4
therefore a is a rational number.
Hope it helps u.... :)

Answer 2

The value of a is rational number.

Step-by-step explanation:

We have,

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

To find, the value of a is rational or irrational = ?

∴ $\dfrac{4}{a}=\dfrac{a^2}{16}$

By crossmultiplication, we get

⇒ $a^{2}\times a=4\times 16$

⇒ $a^{3} =64$

Using formula,

$a^{m}. a^{n}=a^{m+n}$

⇒ $a^{3}=4^{3}$

⇒ a = 4, it can be written as $\dfrac{p}{q}$ form, q ≠ 0

∴ $a=\dfrac{4}{1}$

Henece, the value of a is rational number.