Readers ask: What If The Square Root Is Negative?

What does a negative square root mean?

What Is The Negative Square Root? As shown earlier, a negative square root is one of two square roots of a positive number. For the number 25, its negative square root is -5 because (-5)^2 = 25. We can solve certain equations by finding the square root of a number. Let’s consider the equation of x^2 = 121.

What happens if you square a negative?

In fact, any number at all can be squared, even numbers like pi and 0. This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.

Why is i the square root of negative one?

Here, the term “imaginary” is used because there is no real number having a negative square. There are two complex square roots of − 1, namely i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root ).

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Is negative square root of 16 a real number?

There is no Real number whose square is − 16.

What is the square of negative 4?

Squaring Negative Numbers When you want to square negative numbers in this calculator use parentheses with your input. For example, to square -4 enter it into the calculator as (-4) with parentheses. To take the negative of 4 squared enter it as -(4) or -4.

What is a number to the power of a negative?

The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. So 2^(-4) = 1/(2^4) = 1/(2*2*2*2) = 1/16. The answer is 1/16.

Is a negative times a negative a positive?

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

Is negative square root of 64 a real number?

If you enter SQRT (- 64 ) into a spreadsheet on your computer, you will get an error message saying something like “argument must be greater or equal to 0” because the square root of negative 64 is not possible. There is no real number multiplied by itself that will equal – 64.

What is negative I equal to?

Unit Imaginary Number The square root of minus one √(−1) is the “unit” Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

What is the root square of 1?

List of Perfect Squares

NUMBER SQUARE SQUARE ROOT
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000
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Why can’t we square root a negative number?

Negative numbers don’t have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can’t be written as the quotient of two integers.

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