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Can Negative Numbers Have Square Roots
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Can you square anything and have it come up negative No So you cannot take the square root or the fourth root or the sixth root or the eighth root or any other even root of a negative number On the other hand you can
For nonnegative numbers the square root of a product is the product of the square roots Does this property work for negative numbers too The answer is no as shown next
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Simplifying The Square Root Of A Negative Number YouTube
Simplifying The Square Root Of A Negative Number YouTube
Can you calculate the square root of a negative number In this video we ll explore why it s impossible to calculate a square root of a negative numbe
The behavior of the square root function when extended to the domain of all real numbers positive reals negative reals and 0 precisely mirrors the argument made above The square root of a negative number is a complex number
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Positive And Negative Roots Visualizing Algebra YouTube
Positive And Negative Roots Visualizing Algebra YouTube
You can not find in the group of Real Numbers a result of your negative square root but you can try outside in the group of immaginary numbers Answer link Well if you think at the meaning of the square root inverse of
We can t take the square root of 4 there is no real number that when multiplied by itself makes 4 or any negative number for that matter Therefore we can t evaluate the expression 4 2 and the two expressions don t have the same value one has a value the other doesn t
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https://www.onemathematicalcat.org/Math/Pre...
For nonnegative numbers the square root of a product is the product of the square roots Does this property work for negative numbers too The answer is no as shown next
https://math.stackexchange.com/questions/144364
In the setting of the real numbers negative numbers do not have a square root In the setting of the complex numbers negative numbers do have a square root However this is not only when you ask yourself about square roots of negative numbers
For nonnegative numbers the square root of a product is the product of the square roots Does this property work for negative numbers too The answer is no as shown next
In the setting of the real numbers negative numbers do not have a square root In the setting of the complex numbers negative numbers do have a square root However this is not only when you ask yourself about square roots of negative numbers
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