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What pair of square numbers give 105?

Updated: 4/28/2022
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13y ago

Best Answer

121 - 16 = 105.

There are two other pairs.

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13y ago
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Q: What pair of square numbers give 105?
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Related questions

What pair of square numbers give the difference of 105?

Call the integer square roots of the specified pair of numbers l and g for lesser and greater respectively. Then, from the problem statement, g2 - l2 = 105. Possible values for l2 are successively 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, .... , and corresponding values for g2 are 106, 109, 114, 121, ... etc. The first of the latter series that is a perfect square number is 121. Therefore, the square numbers are 121 and 16.


What are the factors of 84 and 105 that are square numbers?

4 is the only square number that is a factor of 84. No square number is a factor of 105.


Which pair of numbers that has a great common factor that is a prime number 48 90 105 and 56?

56 and 105


Which pair of number does square root 105 fall between?

There is no unique pair of numbers that satisfies these requirements. Suppose a and b is such a pair, and sqrt(105) = x then you want a < x < b But a < (a+x)/2 < x < (b+x)/2 < b So that (a+x)/2 and (b+x)/2 are a closer pair. and you can then find a closer pair still - ad infinitum. The question can be answered (sort of) if it asked about "integers" rather than "numbers". 100 < 105 < 121 Taking square roots, this equation implies that 10 < sqrt(105) < 11 so the answer could be 10 and 11. But (and this is the reason for the "sort of") the above equation also implies that -11 < sqrt(105) < -10 giving -11 and -10 as a pair of consecutive integers. So, an unambiguous answer is possible only if the question specifies positive integers.


What pair of numbers have a gcf of 105?

Suppose x and y are any two co-prime integers. Then 105*x and 105*y will have a GCF of 105.


What two numbers that multiply to give you 105?

52.5 x 2 = 105


Which pair of numbers has a greatest common factor that is a prime number 48 and 90 or 105 and 56?

The second one.


What 2 numbers give you 105?

the simple way is: 100+5=105 but there is ALOT of other ways to get 105


What is two pair of number can go into 105 evenly?

1 and 105 are a factor pair of 105 since 1 x 105= 105 3 and 35 are a factor pair of 105 since 3 x 35= 105 5 and 21 are a factor pair of 105 since 5 x 21= 105 7 and 15 are a factor pair of 105 since 7 x 15= 105


What is the square root of negative 105?

The same as the square root of positive 105, multiplied by i (the imaginary unit). So, the answer will be approximately 10.25i. If only real numbers are acceptable, then there is no solution.


What 2 pair of numbers have a least common multiple of 105?

7 and 15 21 and 35 15 and 35


What TWO numberS multiply TO give you 105?

21 and 5. 21 x 5 = 105. Simple math.