Q: What are the positive and negative square roots of 4?

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Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.

The two square roots of 4 are 2 and -2. Both {2,-2} when squared, equal positive 4.

The square root of a number which when multiplied by itself gives the original number. eg √4 = 2 since 2 × 2 = 4. As a negative times a negative is positive, there are two square roots for every positive number: 2 × 2 = -2 × -2 = 4 so both 2 and -2 as the square roots of 4. Also, negative numbers do not have square roots (that are real numbers*) By convention/definition the radical symbol (√) is used to denote the positive square root. * Negative numbers have square roots that are complex numbers. These numbers have a real bit and an imaginary bit, and are of the form (a + bi) where a and b are real numbers and i is used to denote the square root of -1 (except in electrical engineering where the little 'i' is used to denote small currents so the little 'j' is used instead); thus: i² = -1. eg √-4 = √(4 × -1) = √4 √-1 = 2 √-1 = 2i squaring: (2i)² = 2² × i² = 4 × -1 = -4.

The two square roots of a real number (other than 0) have the same value: one is the additive opposite of the other.So, the principal square root of 16 is 4. Then the other sqrt is -4.The principal sqrt of 2 is approx 1.424 and the other is -1.424.

16 has two square roots, 4 and -4. "The square root" normally refers to the positive root.

Related questions

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

Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.

Every number has two square roots ... a positive one and a negative one. Example: +2 and -2 are both square roots of 4, because when you multiply either of them by itself, the answer is 4. The positive square root of a number is the square root that's not negative. The non-negative square root of a number is the positive one.

Because a negative times a negative always equals a positive. For example, -2 times -2 equals 4.

Every positive number has TWO square roots. The principal square root is the positive number which, when multiplied by itself, gives the number in question. But its negative equivalent will also be a square root. For example, the number 4 has 2 as the principal sqrt but -2 is also a sqrt of 4

The square root of positive number can be ether a matched set of positive or negative numbers. As an example the square root of 4 can be either (-2 x -2) or (+2 x +2)

Definition of Square Root: The Square Root of a number 'X' is equal to 'A' when X=A*A By definition, the square root of a positive number has two answers, one negative and one positive, that have equal magnitudes. i.e. The square roots of 4 are 2 and -2. The Non-Negative Square Root is simply asking for the positive root.

The two square roots of 4 are 2 and -2. Both {2,-2} when squared, equal positive 4.

The square root of a number which when multiplied by itself gives the original number. eg √4 = 2 since 2 × 2 = 4. As a negative times a negative is positive, there are two square roots for every positive number: 2 × 2 = -2 × -2 = 4 so both 2 and -2 as the square roots of 4. Also, negative numbers do not have square roots (that are real numbers*) By convention/definition the radical symbol (√) is used to denote the positive square root. * Negative numbers have square roots that are complex numbers. These numbers have a real bit and an imaginary bit, and are of the form (a + bi) where a and b are real numbers and i is used to denote the square root of -1 (except in electrical engineering where the little 'i' is used to denote small currents so the little 'j' is used instead); thus: i² = -1. eg √-4 = √(4 × -1) = √4 √-1 = 2 √-1 = 2i squaring: (2i)² = 2² × i² = 4 × -1 = -4.

No. The square of a positive number is positive; the square of a negative number is also positive; and the square of zero is zero. If you want to square a number and get a negative result, you need complex numbers. For example, the square of 2i is -4.

The square root (r) of a number (y) is that number which multiplied by itself gives the original number, ie: if r = √y, then y = r × r = r². Every number has two square roots as a negative number multiplied by a negative number is a positive number. Examples: √16 = 4 or -4 (written as ±4) since 4 × 4 = 16 and -4 × -4 = 16 √25 = ±5 √2.25 = ±1.5 Negative numbers do not have real square roots. They have complex square roots which are the square root of the positive number multiplied by the square root of -1 which is written as "i", examples: √-1 = i √-16 = ±4i

The root of a perfect square will be an integer, but will be both the positive and negative values. For instance, the square root of 4 is plus or minus 2 (±2), as both integral answers are valid. The positive real root is the answer that many books give. It is sometimes called the primary root. But the key point is both roots are valid.