How many three digit perfect squares are there?

So total 22 three digit numbers are perfect squares.

How many perfect cubes of 3 digits are there whose sum of digits is also a perfect cube?

Hence, 3√x = y. For example, 8 is a perfect cube because 3√8 = 2….What is the cube 30?

MATHS Related Links
Addition And Subtraction Of Algebraic Expressions	Class 10 Maths Index

What is a three digit perfect square?

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

Which is the greatest 3-digit perfect square number?

961
Hence, the greatest three-digit number which is a perfect square = 999 – 38 = 961.

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).

How many 3 digit Cube numbers are there?

Cubic Number

	OEIS	numbers
1	A000578	1, 8, 27, 64, 125, 216, 343, 512.
2	A003325	2, 9, 16, 28, 35, 54, 65, 72, 91.
3	A047702	3, 10, 17, 24, 29, 36, 43, 55, 62.
4	A047703	4, 11, 18, 25, 30, 32, 37, 44, 51.

What is the largest 3 digit perfect cube?

9^3 is 729. 729 is the largest 3 digit cube.

Which is the smallest 3 digit perfect square?

100
∴ 100 is the smallest 3-digit perfect square.

How many perfect squares are multiples of 3 and 4?

If a square is a multiple of 3 it’s gonna be a multiple of 9. The ones we seek are also multiples of the square 4. So we seek three digit numbers of the form 36 a 2. In other words, we seek 100 ≤ 36 a 2 < 1000. So, we get a = 2, a = 3, a = 4, a = 5, giving four three digit perfect squares that are a multiple of both 3 and 4. Let’s check them

Can a perfect square have a unit digit of 2?

– If unit digit of a number is 2 then it can’t be a perfect square. – If unit digit of a number is 3 then it can’t be a perfect square. – If unit digit of a perfect square is 4 then ten’s digit has to be Even. E.g. 64, 144, 484 all are Perfect Square having unit digit 4 and tens digit is even.

What are the limitations of perfect squares?

– If a number ends with 2, 3, 7 or 8 then it can’t be perfect square. -Square of any natural number has last two digits same as that of last two digits of squares of first twenty–five natural numbers.

What is the perfect square of 3×3?

Example: 3 x 3 = 9 Thus: 9 is a perfect square. 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.