Irrational numbers and square roots
An irrational number, like the square root of 2, can't be written as a simple fraction, and its decimals go on forever without repeating, though you can still approximate it on a number line (it's between 1.4 and 1.5). Solving an equation like x^2 = 9 means finding a square root: since both 3^2 = 9 and (-3)^2 = 9, x = 3 or x = -3, while x^3 = 8 has just one solution, x = 2, since cubing a negative number gives a negative result.
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