Question

упростите выражение 1) √3/√75 + √0,64 2) √5/√125 +√0,0484 3) √27/√96 - √256 4) -√648/√12 + √0,0081

Answer 1

$\frac{\sqrt{3} }{\sqrt{75} } +\sqrt{0.64} } =\frac{\sqrt{3} }{\sqrt{3*25} } +0.8=\frac{1}{\sqrt{25} } +0.8=\frac{1}{5}+0.8=0.2+0.8=1\\ \\ \\ \frac{\sqrt{5} }{\sqrt{125} } +\sqrt{0.0484} =\frac{\sqrt{5} }{\sqrt{5*25} } +0.22=\frac{1}{\sqrt{25} } +0.22=\frac{1}{5} +0.22=0.2+0.22=0.42\\ \\ \\ \frac{\sqrt{27} }{\sqrt{96} }-\sqrt{256} = \frac{\sqrt{3*9} }{\sqrt{16*6} } -16=\frac{\sqrt{3} }{\sqrt{3*2} } -16=\frac{1}{\sqrt{2} } -16$

$-\frac{\sqrt{648} }{\sqrt{12} }+\sqrt{0.0081}  =\frac{\sqrt{12*54} }{\sqrt{12} } +0.09=\sqrt{9*6} +0.09=3\sqrt{6} +0.09$