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What is the second largest whole number which is a perfect square a perfect cube and a perfect fifth power?
The second LARGEST? Is that correct? I think the second SMALLEST is a much more sensible question. How could you possibly know which is the LARGEST, much less the second largest? The SMALLEST is of course 1. Since 1^2 = 1, 1^3 = 1 and 1^5 = 1. The second SMALLEST I could find is 1073741824. I didn't try all possible numbers, but that was the second smallest I could find. 1024^2 = 1073741824, 32768^3 = 1073741824 and 64^5 = 1073741824. My initial gut was 64, but it isn't a perfect 5th, 2^5 = 32 NOT 64. Just try a couple 5th powers and see which are factorable (into a perfect square and a perfect cube). If you have a graphing calculator (or a computer) you can use the 3rd root and square root functions to do the math for you. But 64^5 was the smallest I could find (other than 1). Other numbers like 12^5, 24^5 and 32^5 did not work-out but 64 did. Hope this helps!
What else can I help you with?
What is the greatest perfect square?
99801 is the greatest 5 digit number * * * * * 99801 is not a perfect square! Sqrt(99801) = 315.91 (approx). The largest 5 digit perfect square is 99856 = 3162
What is the largest perfect square that can go into 1476?
√1476 ≈ 38.419, so the largest perfect square less than 1476 would have to be 382, or 1444.
What is the largest perfect square factor of 45?
I suggest you try to split the number up into prime factors. It should then be clear what the largest square factor is - simply look for repeated prime factors.
What is the largest perfect square factor of 75 is?
That would be 25 . In fact, 25 is the onlyfactor of 75 that's 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.
What is the largest perfect square of 205200000?
There can be only one perfect square for a number and for 205200000 it is 42,107,040,000,000,000
What is largest perfect square factor?
We need to know what number the square is a factor of.
What is the largest whole number that is a perfect square and cube?
64
What is the largest 3-digit square number?
The largest 3-digit number - not itself a perfect square - is 999. Calculate its square root, round the answer down, then square the answer again.
What is a whole number raised to the second power?
It is the perfect square of that number.
What is the largest nine-digit number that is a perfect square?
999,950,884 = (31,622)2
What is the largest perfect square factor of 48?
The largest perfect square factor of 48 is 16.
What is it called when a number has a whole number square root?
Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".
What is the greatest perfect square?
99801 is the greatest 5 digit number * * * * * 99801 is not a perfect square! Sqrt(99801) = 315.91 (approx). The largest 5 digit perfect square is 99856 = 3162
What is the largest perfect square that will divide in the number 4312 with no remainder?
To find the largest perfect square that will divide 4312 with no remainder, we need to factorize 4312. The prime factorization of 4312 is 2^3 * 7 * 97. To find the largest perfect square, we need to pair up the prime factors into pairs of 2. The largest perfect square that will divide 4312 with no remainder is (2^2)^2 = 16.
Which is the largest 4 digit number which is a perfect square?
10000 is the square of 100 so you're looking for the square of 99 which is 9801.
How do you check if a number is a perfect square?
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
