√64/9乘以√169/144=?3/1√90乘以2/1√40=?√18除以｛3√2乘以2√2｝=?-√1.1/√2.7乘以√33=?

题目

√64/9乘以√169/144=?3/1√90乘以2/1√40=?√18除以｛3√2乘以2√2｝=?-√1.1/√2.7乘以√33=?

答案

√64/9乘以√169/144
=√(64/9)*√(169/144)
=8/3*13/12
=26/9
3/1√90乘以2/1√40
= √(90)/3*√(40)/2
=3√(10)/3*2√(10)/2
=√(10)*√(10)
=10
√18除以｛3√2乘以2√2｝
=√(18)/｛6√2*√2｝
=3√(2)/｛6*2｝
=√(2)/4
√1.1/√2.7乘以√33
=√(1.1)*[√(33)/√(2.7)]
=√(1.1)*[√(11)/√(0.9)]
=√(1.1)*[√(110)/√(9)]
=√(1.1*110)/3
=√(11*11)/3
=11/3