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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.
Is the square root of any real number always positive?
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
What is the negative square root of 100?
The square root of 100 is 10 but positive and a negative is a negative so it is negative 10
If a negative number squared is positive why isn't the square root of a positive number negative?
When a negative number is squared, the negative sign is essentially squared along with the number, resulting in a positive value. However, when taking the square root of a positive number, we are looking for the value that, when squared, gives us the original positive number. Since both a positive and negative number can square to the same positive value, the convention is to consider the principal (positive) square root by default. The negative square root is also a valid solution in many contexts, but for simplicity and consistency, the positive square root is typically chosen.
What is a principal square root?
The principal square root is the non-negative square root.
What is the square root of a square?
√(a^2) That is |a| (the absolute value of a) Because if a is positive, a^2 is positive, and since √ is a positive square root, √(a^2) is a. If a is negative, a^2 is positive, and since √ is a positive square root, √(a^2) is -a. So if a is positive, √(a^2) is positive (which is a) If a is negative, √(a^2) is also positive (which is -a) So √(a^2) is |a| for every a.
Why -3 is not the answer to square root of 9?
It is - as well as positive 3. Multiplying a negative number by another negative always results in a positive value. Therefore the square root of 9 can be either 3 or -3.
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.
Is it possible to find the square root of a negative number in the real number system?
No. There is no real number which multiplied by itself forms a negative number.A negative times a negative is a positive, and only a positive times a negative is a negative.However, in calculus there is an "imaginary value" (called i ) which represents the square root of -1.Square roots of larger negative numbers are represented by the square of the absolute value times i .
How can you tell when to put the 'positive and negative' sign when you square root something?
The square root is generally positive or negative and it is only the context of the question that will tell you whether it is the positive root or the negative root. For example, if you are solving for the lengths of the sides of a square, a negative measure makes no sense so it must be the positive root.
What 2 numbers would be the square root of 53?
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
Is the square root of any real number always positive?
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
How do you solve integers and absolute value?
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
What is the negative square root of 100?
The square root of 100 is 10 but positive and a negative is a negative so it is negative 10
Is negative square root of 21 irrational?
Yes, as is the positive square root.
If a negative number squared is positive why isn't the square root of a positive number negative?
When a negative number is squared, the negative sign is essentially squared along with the number, resulting in a positive value. However, when taking the square root of a positive number, we are looking for the value that, when squared, gives us the original positive number. Since both a positive and negative number can square to the same positive value, the convention is to consider the principal (positive) square root by default. The negative square root is also a valid solution in many contexts, but for simplicity and consistency, the positive square root is typically chosen.
When is the Square root of x greater than x?
when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.
