Question

if n is a perfect square, then 2n can never be a perfect square give some example

Answer 1

Answer:

When a perfect square is presented as a product of powers of prime numbers, all the exponents must be even. When you multiply a perfect square by 2, you make the exponent over 2 odd. So if it was 0, you make it 1, if it was 8, you make it 9.

Step-by-step explanation:

Answer 2

Answer:

Let's Considered n=4 as it is a perfect square.

we Know that ,

2²=4

it is a square root of 2

then,

2n = 2×4

therefore, 2n=8

8 is not a perfect Square.

hence, Proved that if n is a perfect square, then 2n can never be a perfect square .