已知x²-3x+1=0,则(x²+1\x²-2)的算术平方根的值为_______
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![已知x²-3x+1=0,则(x²+1\x²-2)的算术平方根的值为_______](/uploads/image/z/745797-21-7.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B-3x%2B1%3D0%2C%E5%88%99%EF%BC%88x%26%23178%3B%2B1%5Cx%26%23178%3B-2%EF%BC%89%E7%9A%84%E7%AE%97%E6%9C%AF%E5%B9%B3%E6%96%B9%E6%A0%B9%E7%9A%84%E5%80%BC%E4%B8%BA_______)
已知x²-3x+1=0,则(x²+1\x²-2)的算术平方根的值为_______
已知x²-3x+1=0,则(x²+1\x²-2)的算术平方根的值为_______
已知x²-3x+1=0,则(x²+1\x²-2)的算术平方根的值为_______
x²-3x+1=0
x²+1=3x
x+1/x=3
√(x²+1\x²-2)
=√(x²+1\x²+2-4)
=√(x+1\x)²-4
=√(9-4)
=√5