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Simplifying square root numbers?
If the number under the radical sign has a factor which is a square number greater than 1, then the square root of that number can be taken outside the radical.For example,sqrt(75) = sqrt(25*3) = sqrt(25)*sqrt(3) = 5*sqrt(3).
How can you tell by looking at the prime factors of 17640 that the square root of 17640 is not a whole number?
Write the prime factors as powers. In a square number, each prime number appears an even number of times - i.e., an even power. Examples: 4 = 22 (even power, this is a square) 144 = 24 x 32 (all powers are even, this is a square) 12 = 22 x 3 or 22 x 31 (3 has an odd power so it is not a square) (If a number is a perfect square, that is equivalent to saying that its square root is a whole number.) * * * * * In this case there is a particularly fast method. The number ends in 0 so 10 must be a factor of the number. That is to say, 2 and 5 must be prime factors of the number. If it is a square then 22 and 52 must be factors of the number ie 22 x 52 = 100 must be a factor. But if 100 is a factor, the number must end in 00. It does not so it cannot be a square.
What is a number called that has an odd number of factor pairs?
A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.
What multiplying factor decrease a number by 3 percent?
what multiplying factor decrease a number by 3 %
What numbers are 3 a factor of?
Any number that is a multiple of 3 has 3 as a factor.
