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  • 5 years ago

Lets assume that the radicand is a positive number. If the index is 2, can we have two roots, one positive and one negative? If yes, illustrate with an example. If not, why not ? What if index = 3 ?

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  1. anonymous
    • 5 years ago
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    sqrt(25) can be either +5 or -5 because +5 * +5 = 25 and -5 * -5 = 25 sqrt(-25) this cannot exist under the real numbers because there is nothing times itself that is going to give you a negative number because a positive times a positive is a positive and a negative times a negative is a positive. cuberoot(27) cannot have a positive and a negative. In this case there is only 1 and that is 3 because 3 * 3 * 3 = 27 if you had the cuberoot(-27) cannot have a positive and a negative. In this is case there is only 1 and that is -3 because -3 * -3 * -3 = -27

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