Sage-Tips

What number is both a perfect square and a perfect cube?

There are 3 cubes which are also square numbers, but only 729 is a three digit number. The next would be 46=4096=163=642 a four-digit number. Note that 1,4and9 are the first three square numbers, Their cubes are therefore both squares and cubes.

Which 3 digit number is both a square and a cube?

729 is a 3-digit number which is a square(27) as well as a cube(9).

What is the three digit number which is 2 more than a perfect square and 2 less than a perfect cube?

Answer: The three digit number is 123. Step-by-step explanation: Given : Three digit number which is 2 more than a perfect square and 2 less than a perfect cube.

Is 1000 both a perfect square and a perfect cube?

[ Including 1 and 1000 there are only 10 perfect cube, 10^3 = 1000 so, it can’t be more then 10 ] , But in between 1 to 1000 there are only 8 perfect cube because then we have to exculed 1 and 1000. 8, 27, 64, 125, 216, 343, 512, 729.

How many 3 digit square numbers are there?

So total 22 three digit numbers are perfect squares. 4 digit numbers are 1000 to 9999. The first number which is a perfect square after 1000 is 1024 = 32 square.

What is the only 2 digit number that is a square and a cube?

Answer: 64 is two digit square number and cube number.

What numbers are Perfectcubes?

The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

How do you find the largest number of 3 digits which is a perfect square?

Therefore to find the largest 3 digit perfect square we will subtract 38 from 999. 999 – 38 = 961. Hence 961 isthe largest 3 digit perfect square whose square root is 31.

What is a 3 digit perfect square?

Square Number

		numbers
3	1	3, 6, 9, 11, 12, 14, 17, 18, 19, 21, 22, 24.
3	2	27, 33, 38, 41, 51, 57, 59, 62, 69, 74, 75.
3	3	54, 66, 81, 86, 89, 99, 101, 110, 114, 126.
3	4	129, 134, 146, 153, 161, 171, 189, 198.

Is 2197 a perfect cube?

As 2197 is a perfect cube, it is easy to determine the cube root of 2197. Hence, the cube root of 2197 is 13.

Is 0.0729 a perfect cube?

0. 0729 is not a perfect cube.

What is a three digit perfect square?

Hence, the greatest perfect square with three digits is 961.

Which number has a 3 digit perfect square and perfect cube?

Hence the 3 digit no which is perfect square as well as perfect cube will be 9³=27²=729. , studied Bachelor of Technology in Electronics and Communications Engineering & DVEA’s Chetan Pre-University S… The Answer will be 729. How? It’s like this. (N^2)^3 = (M^3)^2 and the answer is a 3 digit number. Tried for N=2 which is 64 .

What is the square root of a perfect cube?

The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3 What is special about the number sixty four?

What are the first 10 cube numbers?

The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000. Which are the perfect cubes among these: 27, 9, 400? 27 is the perfect cube. Since 3 x 3 x 3 = 3 3 = 27

What number is a perfect square 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.