根号(sin60°-tan45°)²·(cos30°+2sin²45°)
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![根号(sin60°-tan45°)²·(cos30°+2sin²45°)](/uploads/image/z/1589499-27-9.jpg?t=%E6%A0%B9%E5%8F%B7%28sin60%C2%B0-tan45%C2%B0%29%26%23178%3B%C2%B7%28cos30%C2%B0%2B2sin%26%23178%3B45%C2%B0%29)
根号(sin60°-tan45°)²·(cos30°+2sin²45°)
根号(sin60°-tan45°)²·(cos30°+2sin²45°)
根号(sin60°-tan45°)²·(cos30°+2sin²45°)
√(sin60°-tan45°)^2*(cos30°+2(sin45°)^2
=√(√3/2-1)^2*(√3/2+2*1/2)
=|√3/2-1|*(√3/2+1)
=(1-√3/2)*(1+√3/2)
=1-(√3/2)^2
=1-3/4
=1/4