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Q: What is the smallest number that is both a perfect square and a perfect cube?
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Why is 81 both a perfect square and a perfect cube?

81 is a perfect squarebecause 81 = 9*9. It is NOT a perfect cube.


Can a perfect square have a negative square root?

If a is any number, then a squared = (-a) squared, so one might say that a and -a are both square roots of a squared. However, the square root symbol always means the positive square root.


Are square root numbers rational?

In general, not usually.The square root of an irrational number is always irrational.The square root of a rational number is usually irrational, but not always. You can tell by this test:If both the numerator and denominator of the number expressed as a simplified fraction are perfect square numbers (a number whose square root is a whole number), then the square root of the whole fraction will be rational.Example: Sqrt(4) =2 (the positive one). Sqrt(1) = 1. Both are perfect squares.So sqrt(1/4) = sqrt(1)/sqrt(4) = 1/2. Another one: sqrt(4/9) = 2/3.


Is the square root of 77 an irrational number?

77 is not a perfect square. Another way to look at it is this (use a calculator) sqrt(77) ~= 8.774964387 Notice how there is no point where the numbers begin to repeat themselves (e.g., 1.222322232223) Both reasons tell us that sqrt(77) is an irrational number. ----------- Yes - the square roots of all non-perfect square integers (ie the numbers which are 1², 2², 3², ...) are irrational.


What natural numbers less than 100 are both perfect squares and perfect cubes?

64 is the square of 8 and the cube of 4.

Related questions

What is special about the number sixty four?

It is the smallest composite number that is both a perfect square and a perfect cube.


What is the smallest number besides 1 and that is both a perfect square and a perfect cube?

0 is. The next one after 1 is 64.


What is the second smallest number that is both a perfect square and perfect cube?

4 because 2x2=4 and 4 x 4 x 4=64


What is the smallest integer greater than 1 that is both a perfect square and perfect cube?

its 81


What is the smallest counting numbergreater than 1 that is both a perfect cube and a perfect square?

How about 64 which is cube and square number because 4*4*4 = 64 and 8*8 = 64


Is 1000000 a perfect cube or perfect square?

It is both because 1,000,000 is a perfect cube and a perfect square number


What number is both a square number and a cube number between 1 and 25?

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.


What is the smallest number greater than 1 that is both a perfect square and perfect cube?

64 (8*8) and (4*4*4)The next one is 81 (9*9) and (3*3*3) :)


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 number would have to be a number that is both perfect and square, and there are yet to be any of these numbers "discovered".


What are the 2 smallest whole numbers that are both a perfect square and a perfect cube?

0, 1To be both a square and a cube, the number has to be a sixth power. You don't need to calculate though, since 06=0 and 16=1.The next 2 sixth powers are 26=64 and 36=729.


How do you make 5 digit numbers as square?

The smallest 5 digit number is 10000 = 1002 The largest 5 digit number is 99999 and 3162 < 99999 < 3172 So, take any number between 100 and 316 (both inclusive) and square it to get a 5-digit perfect square.


What is the smallest square number that has both three and six as a factor?

It is: 36