# What is the smallest integer where the integer before it is a perfect square and the integer after it is a perfect cube?

The integer is 26

### What is the smallest number that divides 1152 to give a perfect square?

The smallest integer is 2. There is no smallest number. Dividing 1152 by any number of the form x = 1/(2k2) where k is an integer will result in a perfect square. Since there is no limit to how large k can be, there is no limit to how small x can be.

### What is the definition of a non perfect square?

I have never before heard of a non-perfect square but I suppose it would be any non-zero number that is not the square of an integer. People sometimes say "perfect square" to mean an integer that is a square of an integer - I think the "perfect" is redundant but if you do not think "square" is clear by itself, say "integer square."

### What is the smallest number that divides 275 to give a perfect square?

The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!

### How we know which smallest number is subtracted to get a perfect square?

Find the square root of the number. Take the integer part of the answer. Square the integer part. Subtract this square from the original number. << that is the required number.

### The square root of a perfect square is an integer?

Yes it is. Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.

### What is the smallest positive integer that 63 can be multiplied by in order for the product to be a perfect square?

63= 9* 7. 9 is already a perfect square, so mulitiply by 7. 7 is your answer.

### A perfect square is a number that has an integer square root?

Yes, a perfect square is a number that has an integer square root.

### How is 100 a perfect square?

It is the square of an integer: that is what a perfect square is.

### What are two ways to classify the number 100?

Several ways: Smallest 3 digit integer Log10(Googol) A perfect square

### Is the product of two perfect squares sometimes a perfect square?

yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must… Read More

### What is the smallest positive integer q for which 1008q is a perfect square?

In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.

### Can a perfect square be a rational number?

yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.

### What is the smallest positive integer that has exactly 6 perfect square divisors?

the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.

### Is one fourth a perfect square?

No, a perfect square is the square of an integer number. Fractions are never a perfect square, as the square of an integer is always another integer. Actually fractions can be perfect squares an example is one ninth, it would be one third times one third which equals one ninth.

### How many 5-digit integers are perfect squares?

The smallest 5-digit integer perfect square is 10,000 = (100)2 The largest 5-digit integer perfect square is 99,856 = (316)2 So we want to know how many numbers that is, from 100 to 316 inclusive. It's 316 minus the first 99 = 217 of them.

### Can you Prove that sixty four is a perfect square?

Yes, just take its square root. Since it is an integer, 64 is a perfect square. Alternately, since the square of this integer is 64, 64 is a perfect square, by definition.

### Is 200 a perfect square?

200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

### Is 500 a perfect square?

500 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

### Is 30 a perfect square?

30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

### Is 38 a perfect square?

38 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.

### Why are all the perfect squares are rational number?

A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer. Integers are rational numbers so the square [which is an integer] is a rational number.

### What do you mean by perfect square no?

A perfect square number is an integer multiplied by itself.

### Is 98 a perfect square?

No. If the square root of 98 was an integer, 98 would be a perfect square.

### Is 300 perfect square root?

Any integer is a perfect square oot (of its square). So 300 is a perfect square root of 90000.

### Is perfect square of 5 an integer or irrational number?

The square of 5 is 25 ... an integer, rational.

### What is the definition of perfect square?

Any integer multiplied by itself results in a perfect square.

### Is 8 a perfect square?

8 is a perfect cube; it is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer. ...you're thinking of 9...

### Is the square root of 39 irrational?

Yes. The square root of a positive integer can only be an integer (if your integer is a perfect square), or an irrational number (if it isn't).

### Is the square root of eight rational or irrational?

Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.

### What make a number a perfect square number?

A perfect square is the square of an integer, i.e., an integer multiplied by itself. For example, 25 is a perfect square, because 5 x 5 = 25. But, in literal mathematical terms, a perfect number is a positive integer that is the sum of its proper positive divisors, excluding the number itself. A square number is also called a "perfect square", so an example of a square number is above. So, a perfect square… Read More

### Is 270 a perfect square?

It is not a perfect square because there is no integer that when multiplied by itself produces 270.

### What does a perfect square mean?

Any time you multiply an integer with itself, the product is a perfect square.

### Is fifty a perfect square?

No to be a perfect square you should be able to take the number and square root it on the calculator and get an integer.

### How are square roots and perfect squares related?

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.

### Is 111 a perfect square?

Since no integer multiplied by itself can yield 111, it is not a perfect square. 121, however, is a perfect square. Its square root is 11.

### Is 2 a perfect square?

To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not a perfect square.