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think about it this way... a negative times a negative is a positive... squaring is the same as multiplying it by itself. 4^2 is 16, 4X4 is 16. -7X-7 is positive 49. So a square can't be negative, therefore a negative cannot be square rooted.

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Q: Why isn't it possible to take the square root of a negative number while you can find the cube root?
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When can the square of a negative number be negative?

This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.


What is the first square number and cubic number?

The first square number is 4 while the first cubic number is 8. Condition: you do not consider 1 as an answer since 1x is surely 1 for any value of x, from negative to infinite.


What does a negative number times a negative number equals?

negative multiply by negative is positive. While negative added with negative is negative. E.g. - 2 x -2 is 4 while -2 + -2 is -4


What is a sqare whole number?

That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.


How do you simplify the square root of -96?

In simple terms, negative numbers don't have square roots. If you multiply a number by itself, you can never get a negative number for the answer. Square a negative or a positive, you get a positive; square zero, you get zero.Now, if you get fancy, you could say that while a negative number has no real square roots, you can make one up by inventing the imaginary number i, which is the number that when squared, equals -1. Then you can say that sqrt (-96) = [ sqrt(-1) ] * [ (sqrt(96) ] = i*sqrt(96). From here, you can go ahead and simplify sqrt(96) ...Look for a perfect square factor, and take it out of the root: 96 = 4x24 = 4x4x6 = 16x6; sqrt(96) = sqrt(16)*sqrt(6) = 4sqrt(6).So sqrt(-96) = i*4sqrt(6), which is customarily written as 4isqrt6(You would write a radical sign wherever it says "sqrt" above.)

Related questions

When can the square of a negative number be negative?

This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.


Is 4 divided by 9 not a square number?

0.4444


The number 49 has two square roots what are they?

The two square roots of any positive number are the positive square root and the negative square root. The positive square root of 49 is 7, because 72=49, while the negative square root is -7, because -72=49.


What is the first square number and cubic number?

The first square number is 4 while the first cubic number is 8. Condition: you do not consider 1 as an answer since 1x is surely 1 for any value of x, from negative to infinite.


What does a negative number times a negative number equals?

negative multiply by negative is positive. While negative added with negative is negative. E.g. - 2 x -2 is 4 while -2 + -2 is -4


Do Positive numbers have negative square roots?

Every positive number has two square roots. Their absolute values are the same. One is positive and the other is negative.


What is a sqare whole number?

That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.That is any number that is an integer, and the square of another integer. For example, 4 is the square of 2, while 9 is the square of 3.


How do you simplify the square root of -96?

In simple terms, negative numbers don't have square roots. If you multiply a number by itself, you can never get a negative number for the answer. Square a negative or a positive, you get a positive; square zero, you get zero.Now, if you get fancy, you could say that while a negative number has no real square roots, you can make one up by inventing the imaginary number i, which is the number that when squared, equals -1. Then you can say that sqrt (-96) = [ sqrt(-1) ] * [ (sqrt(96) ] = i*sqrt(96). From here, you can go ahead and simplify sqrt(96) ...Look for a perfect square factor, and take it out of the root: 96 = 4x24 = 4x4x6 = 16x6; sqrt(96) = sqrt(16)*sqrt(6) = 4sqrt(6).So sqrt(-96) = i*4sqrt(6), which is customarily written as 4isqrt6(You would write a radical sign wherever it says "sqrt" above.)


How is an english double negative like subtracting negative number?

subtraction is merely adding a negative number, so subtracting a negative number is adding the negative of a negative number. It should be pointed out that while most people find this concept obvious, it was not obvious to ancient mathematicians. In fact, as late as the 1800s, most mathematicians thought that negative numbers were nonsense.


Do a pyramid have a square base?

While it is possible for a pyramid to have a square bases, you should not assume that all pyramids have square bases. Try to picture a triangular pyramid in your head, hopefully you can see that it is possible, and this would answer your question.


How is the opposite of a number different from the reciprocal of a number?

"opposite" is defined in the context of some operation. While the opposite of a number in the context of multiplication is the reciprocal, there are other possible contexts: The opposite of a number, x, in the context of addition, is its negative, -x. The opposite of a number, x, in the context of its logarithm, is its exponentiation, -x.


To mulitply a number by itself?

To multiply a number by itself is commonly known as squaring the number. The product is known as the square of the number while the number now becomes the square root of the product.