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Why does the square root of -25 have no real solution?

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.


Can a perfect square have a negative square root?

If a is any number, then a squared = (-a) squared, so one might say that a and -a are both square roots of a squared. However, the square root symbol always means the positive square root.


What is the square root of -70?

Ordinarily, the square root of -70 does not exist since a positive number squared or a negative number squared results in a positive number. If complex numbers are permitted, then the square root of -70 is i√70 ~= 8.367i where i is the imaginary square root of -1 such that i2 = -1.


If a negative number squared is positive why isn't the square root of a positive number negative?

Don't forget that a positive number squared is also positive.The rule has nothing to do with whether they're positive or negative. The rule is:When you multiply two numbers together, if their signs are the same then the product is positive.If their signs are different, then the product is negative.When you square a number, the two numbers you're multiplying are the same number,so their signs are always the same, and the product (the square) is always positive.Going the other way, you start with a positive number that's the product. Since it's positive,you know that the two numbers that were multiplied to get it have the same sign ... theycould both be positive, or they could both be negative.The answer to your question is more weird than you expected: The square root of a positive numberis negative. It's also positive. A positive number has two square roots ... the positive one andnegative one.Now, the square root of a negative number is something more difficult. No number squared can equal a negative except for what is called imaginary numbers, defined by "i". For example, the square root of -1 is i, and the square root of -2 is (√2)*i.


What is the square root of 4.84?

Negative numbers can't be squared rooted but the positive square root of 484 is 22


Explain why the square root of 64 has a positive and a negative value?

That simply means that there is both a positive and a negative number which, when squared, gives you 64.


Besides seventy squared what is the square root of 4900?

Any positive number has two square roots, a positive square root and a negative square root. In this instance, the square root of 4900 is equal to ±70 (that is, 70 and –70).


How many square roots dose a negative number have?

no,a negative number cannot have a square root .it is made only for positive numbers .but,yes,negative numbers can be squared.


What number can you square to get the answer -12?

There is no known number that can be squared and produce a negative number since if the number is positive, the result will be positive, and if it's negative the result will still be positive. Accordingly the square roots of negative numbers are normally expressed as a factor of "i" where i is the square root of -1. In that case the square root of -25 is 5i.


Is it possible to find the square root of a negative number explain why or why not?

This is not possible, because any number squared would be positive, not negative.


What is the square root of -x squared?

-x times -x = x2 (negative multiplied with negative = positive) sqrt of x2 = x


What is the positive square root of 9?

The positive square root of 9 is 3. This is because 3 multiplied by itself (3 x 3) equals 9. In mathematics, the square root refers to a number that, when squared, gives the original number, and the positive square root is the non-negative value.