化简(√3+√5-√13+√48)/(√6+√2) 10
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√{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
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