For what value of n is a perfect square?

The only value of n is 1. The reason is given below. Among them at least any one of the square roots will be imperfect, therefore the whole equation becomes imperfect. So, n! is perfect only for n=1.

Is N 2 2 a perfect square?

There are no perfect squares between n2 and (n+1)2, exclusive. For n≥2, n2

How many positive integer values for n exists such that is a perfect square n 2 45?

Thus we have exactly 3 possibilities: n = 2, 6, 22.

Is 11 a perfect square?

11 is a prime number and hence, it is not a perfect square.

Is 8 a square number?

The process of multiplying a number times itself is called squaring. Numbers whose square roots are whole numbers, (or more accurately positive integers) are called perfect square numbers….List of Perfect Squares.

Is 8 a perfect square Yes or no?

8 is not a perfect square because you cannot express it as the product of two equal integers.

What is the number of all possible positive integer values of n for which N 2 96 is a perfect square?

Let n2 + 96 = m2 where m is assumed to be a positive integer. Hence, required integer values of n are 23, 10, 5 and 2. So, the answer is that n2+96 is a perfect square for 4 positive integral values.

What’s the square of 45?

2025
The square of 45 is 2025.

Is 9 + 2n – 8 a perfect square?

Therefore, 9 + 2n − 8 has to be a perfect square. Clearly, 9 + 16 = 25 is a perfect square. Hint: (2a + 2b)2 = 22a + 22b + 2a + b + 1. If 0 ≤ n ≤ 7, then there are no solutions.

How do you find the perfect square of an integer?

Taking the square root (principal square root) of that perfect square equals the original positive integer. Example: √ 9 = 3 Where: 3 is the original integer. Note: An integer has no fractional or decimal part, and thus a perfect square (which is also an integer) has no fractional or decimal part. (Perfect Squares List from 1 to 10,000.

Which is the least value of n for 2^8+2^11×2^n is a perfect square?

= (2^4)^2 [1+8×2^2]= (2^4)^2×33 = not a perfect square. Thus , n=0 is the least value of n for which 2^8+2^11×2^n is a perfect square. Answer.

What is an example of a perfect square?

Perfect Square: Taking a positive integer and squaring it (multiplying it by itself) equals a perfect square. Example: 3 x 3 = 9 Thus: 9 is a perfect square.