## What is n is not a perfect square number?

If n is not a perfect square route n is irrational. Let on the contrary say it is rational. This show p divides q which is contradiction. Hence, route n is irrational if n is not a perfect square.

## Can n be a perfect square?

If n is a prime number, then n will not repeat in any of the other factors of n!, meaning that n! cannot be a perfect square (1).

Why is 47 not a perfect square?

47 is a number that is not a perfect square, meaning it does not have a natural number as its square root. Also, its square root cannot be expressed as a fraction of the form p/q which tells us that the square root of 47 is an irrational number.

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### Is n n irrational?

If √n is an integer, then √n must be rational. Since √n is an integer, we can conclude that n is a square number, that is for some integer a. Therefore, if n is a square number, then √n is rational.

### How many real n Are there such that 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.

How do you prove that a number is not a perfect square?

Take the whole number part of that approximation and call it A, and and add one to B and call it B. If either A or B is the exact square root of the number, then it was a perfect square, if not, the exact square root lies between A and B, and thus the number was not a perfect square.

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#### What is perfect factorial?

factorial perfect-numbers. Write all the numbers that are perfect numbers and also a factorial.

#### WHY IS 121 a perfect square?

The square root of 121 equals 11. Since 11 is a whole number, 121 is a perfect square.

Is n an irrational number True or false?

Answer: False because if n is a perfect square the answer would in whole number or a integer. A whole number or a integer is a rational number…