Can A Negative Square Root Be A Real Number Although yes the square of any positive real is equal to the square of the corresponding negative the square root function cannot be well
The square root of a negative number cannot be a real number as no real number squared gives a negative result This is where the imaginary unit i comes into play defined as 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
Can A Negative Square Root Be A Real Number
Can A Negative Square Root Be A Real Number
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Can A Square Root Be Negative A square root can be negative if we take the opposite of the principal square root of a positive number This comes from the fact that every number except zero has two square roots that are opposites The square root of a negative number does not exist among the set of Real Numbers The imaginary number i is the square root of negative one An imaginary number
The square root of a negative number cannot be expressed as a real number as it would violate the property that the square of any real number is non negative The square root of a negative Given that the square multiplying a number by itself of a real number always results in a non negative number there is no real number whose square is negative Therefore the square
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There is no real value y that you can square to produce a negative result For example there is no real number that satisfies the equation y 2 4 This limitation underscores why square Can Square Roots Be Negative The square root of a real number can be negative as we saw in the examples above In fact for any positive real number there is both a positive square root the principal square root and a negative
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 Why can t we take a square root of a negative number Well if you think at the meaning of the square root inverse of the power of 2 you may find the answer You can not
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Although yes the square of any positive real is equal to the square of the corresponding negative the square root function cannot be well
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The square root of a negative number cannot be a real number as no real number squared gives a negative result This is where the imaginary unit i comes into play defined as
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Can A Negative Square Root Be A Real Number - Square roots of negative numbers can only be determined using the imaginary number called an iota or i What does a negative square root mean The term square root
