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What is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
What are all the perfect squares less than 101?
1,4,9,16,25,36,49,64,81,100
Is all non-perfect squares irrational?
No. 1.5^2 = 2.25 is rational.
How many times does the digit 6 appear in the list of all integers from 1 to 100?
10 times for the one's digit, 1-100 10 times for the ten's digit, 60-70 = 20 times
What are the perfect squares from 1 to 10000?
There are 100 of them, and unfortunately we're almost out of ink. But don't despair! You can easily find all of them on your own. Simply write all the counting numbers from 1 to 100 down the side of the paper, and write the square of each one next to it. The second column on your paper will be a list of all the square numbers, in order, up to 10,000 .
What are all the perfect squares?
That's an infinite list, much too long to fit in this space.
Are no perfect squares whole numbers?
By definition, ALL perfect squares are whole numbers!
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
What is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
What are not perfect squares from 1 to 31?
The only perfect squares from 1 to 31 are 1, 4, 9, 16, and 25.All of the other 26 are NOT perfect squares.2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27.28,29,30,31
Are all perfect squares rational?
Yes
List all the perfect squares less than 100?
1, 4, 9, 16, 25, 36, 49, 64, 81
All the perfect squares less than 101?
The perfect squares less than 101 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100
Are perfect squares all rational numbers?
Yes.
How are perfect squares used in algebra?
In Algebra, perfect squares are used when one wants to break down a geometrically square object into smaller squares which can be of all different sizes.
How do you find the sum of all perfect squares between 5 and 30?
Here is a procedure that would do the job nicely: -- Make a list of all the perfect squares between 5 and 30. (Hint: They are 9, 16, 25, 36, and 49.) -- Find the sum by writing the numbers in a column and adding up the column.
Are all multiples of 4 perfect squares?
No, 8 is a multiple of 4 and NOT a perfect square.
