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二次根式有两个重要的性质:(1)(a~(1/2)~2=a(a≥0);(2)a~2~(1/2)=|a|(?)这两个性质是正确进行二次根式化简、运算的重要依据.要深刻领会并正确运用这两个性质,应注意从以下四点着手.一、正确理解性质的意义我们知道,形如a~(1/2)(a≥0)的式子叫做二次根式.这里a~(1/2)是一个非负数,是非负数a的算术平方根,那么(a~(1/2))~就是非负数a的算术平方根的平方.
There are two important properties of the quadratic root: (a) (a ~ (1/2) ~ 2 = a (a≥0); (2) a ~ 2 ~ (1/2) = | a | These two properties are the important basis for correctly carrying out the second radical simplification and calculation.To understand and correctly apply these two properties, we should start from the following four points: I. Correctly understand the meaning of nature We know that the shape of a ~ (1/2) (a≥0) is called the quadratic root, where a ~ (1/2) is a nonnegative number and is the arithmetic square root of nonnegative a, then (a ~ (1/2)) ~ Is the square of the square root of the arithmetic non-negative a.