Question

If n is a rational number, then 52n − 22n is divisible by

please solved it fast..​

Answer 1

Given:

n is a rational number

To Find:

52n − 22n is divisible by

Step-by-step explanation:

• As it is given that n is a rational number and $\\52\times n -22\times n=30\times n$
• $30\times n$ is divisible by $n$ and by each number which divides 30 such as $2, 3, 5, 6, 10, 15,30$

Answer 2

Given,

n is a rational number.

52n-22n

To find,

The number which can divide (52n-22n).

Solution,

(52n-22n) will be divisible by the factors of 30 and n.

We can easily solve this problem by following the given steps.

According to the question,

52n-22n

Now, this can be solved further because both the terms have the same variable which is 'n'.

Subtracting 22n from 52n,

52n-22n = 30n

Now, 30n is divisible by 30 or any number which can divide 30 like 2,3,5,6,10, etc. and by n.

Hence, (52n-22n) is divisible by the factors of 30 and n.