计算:√（3a）/2b*[√（b/a）÷2√(1/b)]
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√（3a）/2b*[√（b/a）÷2√(1/b)]
=√（3a）/2b*[√（b/a）÷√(4/b)]
=√（3a）/2b*[√（b/a÷4/b)]
=√（3a）/2b*[√（b/a*b/4)]
=√（3a）/2b*√[(b²/(4a)]
=√(3a)*√[(b²/(4a)]/2b
=√[3a*b²/(4a)]/2b
=√[3b²/4]/2b
=b/2*√3/2b
=b/2*√3*1/2b
=√3/4
=√（3a）/2b*[√（b/a）÷√(4/b)]
=√（3a）/2b*[√（b/a÷4/b)]
=√（3a）/2b*[√（b/a*b/4)]
=√（3a）/2b*√[(b²/(4a)]
=√(3a)*√[(b²/(4a)]/2b
=√[3a*b²/(4a)]/2b
=√[3b²/4]/2b
=b/2*√3/2b
=b/2*√3*1/2b
=√3/4
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