Math Tutoring on Introduction to Radical Expressions
Perfect squares are the numbers that we obtain when we square an integer. So here we see the integers from 1 through 10, and if we square them, we get perfect squares, for example, 0² = 0, 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25, 6² = 36, 7² = 49, 8² = 64, 9² = 81 and 10² = 100. To determine the square root of a number we have a special symbol as we see here, √9 = 3, square root of 9 is 3. The square root of a number is a number times itself that equals the given number. Actually, numbers have two square roots, one positive and one negative, +3•+3 = 9 and -3•-3 = 9. Let’s take a look at a definition of nth roots. If we let a and b be real numbers and n be an integer > or = 2. If we have an equation in the form of a = bᵑ, then b is an nth root of a. If n = 2 the root is a square root, if n = 3 the root is a cube root, if n = 4 we have a 4th root and so on. Inverse properties of nth powers and nth roots are as follows:
When n is odd , when n is even .
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1. What is the nth root of a number?
2. What is the inverse of the power function?
3. How do you find the square root of a power?
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