√3+1/√3-1的化简
问题描述:
√3+1/√3-1的化简
答
√3+1/√3-1 = [(√3+1) * (√3+1)] / [(√3+1) * (√3-1)] = (√3+1)^2 / [(√3)^2 -1^2] = (√3+1)^2 / 2 = (4 +2√3) /2 = 2 + √3
√3+1/√3-1的化简
√3+1/√3-1 = [(√3+1) * (√3+1)] / [(√3+1) * (√3-1)] = (√3+1)^2 / [(√3)^2 -1^2] = (√3+1)^2 / 2 = (4 +2√3) /2 = 2 + √3