Question

Explain how 4^1/2 is a rational number.

Answer 1

Answer:

$\mathbb{YOUR \: QUESTION \: MATE}$

Explain how 4^1/2 is a rational number.

$\mathcal{HERE'S \: YOUR \: ANSWER}$

As we know number in the form of p/q is said to be rational number of p and q are integers, q≠0 and p&q exists co-prime.

,

According To Your Question:

4¹/2 can be also written as 4/2 and further it can also be written as 2/1.

i.e 4/1=2/1----------(i)

Since,

2/1 is in the form of p/q where p=2 and q=1 and both are integers.

Therefore,

We can say that 2/1 is rational number.

Now,

If 2/1 is rational number than 4/1 will also be rational number. From equation (i)

Hence proved.