若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)

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若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)若x=2√2,化简求值√(x^3-6x^

若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)
若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)

若x=2√2,化简求值√(x^3-6x^2+9x),√(x^3+6x^2+9x)
x^3-6x²+9x=x*(x-3)²
x^3+6x²+9x=x*(x+3)²
所以
√(x^3-6x²+9x)
=√x*(x-3)²
=|x-3|*√x 代入x=2√2
=(3-2√2)* 8^(1/4)

√(x^3+6x²+9x)
=√x*(x+3)²
=|x+3|*√x 代入x=2√2
=(3+2√2)* 8^(1/4)