大师作文网√{3+√[5-√(13+√48)]}/(√6+√2),怎么化简啊,
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/15 17:12:15
√{3+√[5-√(13+√48)]}/(√6+√2),怎么化简啊,
![√{3+√[5-√(13+√48)]}/(√6+√2),怎么化简啊,](/uploads/image/z/16605231-15-1.jpg?t=%E2%88%9A%7B3%2B%E2%88%9A%5B5-%E2%88%9A%2813%2B%E2%88%9A48%29%5D%7D%2F%28%E2%88%9A6%2B%E2%88%9A2%29%2C%E6%80%8E%E4%B9%88%E5%8C%96%E7%AE%80%E5%95%8A%2C)
√{3+√[5-√(13+√48)]}/(√6+√2)
=√{3+√[5-√(12+4√3+1)]}/(√6+√2)
=√{3+√[5-√(2√3+1)²]}/(√6+√2)
=√{3+√[5-(2√3+1)]}/(√6+√2)
=√{3+√[4-2√3]}/(√6+√2)
=√{3+√[3-2√3+1]}/(√6+√2)
=√{3+√[√3-1]²}/(√6+√2)
=√{3+(√3-1)}/(√6+√2)
=√{2+√3}/(√6+√2)
=√{4+2√3}/√2/(√6+√2)
=√{√3+1}²/[√2*(√6+√2)]
=(√3+1)/[√2√3+2]
=(√3+1)/[2(√√3+1)]
=1/2
=√{3+√[5-√(12+4√3+1)]}/(√6+√2)
=√{3+√[5-√(2√3+1)²]}/(√6+√2)
=√{3+√[5-(2√3+1)]}/(√6+√2)
=√{3+√[4-2√3]}/(√6+√2)
=√{3+√[3-2√3+1]}/(√6+√2)
=√{3+√[√3-1]²}/(√6+√2)
=√{3+(√3-1)}/(√6+√2)
=√{2+√3}/(√6+√2)
=√{4+2√3}/√2/(√6+√2)
=√{√3+1}²/[√2*(√6+√2)]
=(√3+1)/[√2√3+2]
=(√3+1)/[2(√√3+1)]
=1/2