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How many square roots can a positive number have?
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.
What are 2 square roots for 4?
The two square roots of 4 are 2 and -2. Both {2,-2} when squared, equal positive 4.
What is the square root in math?
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.
How do you find positive and negative square roots?
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.
What are all solutions of X2 equals 16?
Since both positive*positive and negative*negative equal a positive number, the square root of 16 can either be +4 or -4.
