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Can A Negative Number Have A Square Root
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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 negatives of each other
Answer The square root of a negative number is an imaginary number represented as a multiple of the imaginary unit i For example consider finding the square root of 4 This can be expressed as 4 4 1 2i Here 4 is 2 and 1 is defined as i Therefore the square root of 4 is written as 2i
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Question Video Computing Numerical Expressions Involving Square Roots
Question Video Computing Numerical Expressions Involving Square Roots
Let s investigate what happens when negative values appear under the radical symbol as the radicand for cube roots and square roots In some situations negative numbers under a radical symbol are OK
If a sqrt b 2 b then a 2 b 2 b so when b 2 b is negative you are really saying I know that the square of a number is always positive but what if it isn t
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How To Simplify A Negative Square Root sqrt 8 YouTube
How To Simplify A Negative Square Root sqrt 8 YouTube
Yes it is possible to find the square root of negative numbers You may recall running into roots of negatives in algebra when attempting to solve equations like begin align x 2 4 0 end align
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 find a real number b that squared gives you 4
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Answer The square root of a negative number is an imaginary number represented as a multiple of the imaginary unit i For example consider finding the square root of 4 This can be expressed as 4 4 1 2i Here 4 is 2 and 1 is defined as i Therefore the square root of 4 is written as 2i
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
Answer The square root of a negative number is an imaginary number represented as a multiple of the imaginary unit i For example consider finding the square root of 4 This can be expressed as 4 4 1 2i Here 4 is 2 and 1 is defined as i Therefore the square root of 4 is written as 2i
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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