cos45*(-1/2)^-2-(2倍的根号2-根号3)^0+根号32+1/根号2-1

问题描述:

cos45*(-1/2)^-2-(2倍的根号2-根号3)^0+根号32+1/根号2-1

cos 45° × (- 1 / 2)^ (- 2) - (2√2 - √3)^ 0 + √32 + 1 / (√2 - 1)
= √2 / 2 × 2 ² - 1 + √(4 ² × 2) + (√2 + 1)/(√2 + 1)(√2 - 1)
= 2√2 - 1 + 4√2 + (√2 + 1)/ (√2² - 1)
= 6√2 - 1 + (√2 + 1)/ (2 - 1)
= 6√2 - 1 + (√2 + 1)
= 6√2 - 1 + √2 + 1
= 7√2