Question

化简:√2分之1+√12.5-2分之1√200+√60又2分之1

Answer 1

原式=√(1/2) +√12.5 -(1/2)√200 +√60又1/2

=√(2/4) +√(25×1/2) -(1/2)×√100×√2 +√(121/2)

=√2×√(1/4)+√25×√(1/2) -(1/2)×10×√2+√121×√(1/2)

=√2×1/2 +5×√2×1/2 -5√2 +11×√2×1/2

=(√2)/2 +(5√2)/2 -5√2 +(11√2)/2

=(√2+5√2-10√2+11√2)/2

=(7√2)/2