Sunday, July 26, 2009

How do you express sqrt 1/2 + sqrt 1/4 + sqrt 1/8 in A + B sqrt C (rational numbers) form?

I have to put





sqrt 1/2 + sqrt 1/4 + sqrt 1/8





in the form of A + B sqrt C, like make it into rational numbers or whatever. A=? B=? C=?

How do you express sqrt 1/2 + sqrt 1/4 + sqrt 1/8 in A + B sqrt C (rational numbers) form?
sqrt 1/2 + sqrt 1/4 + sqrt 1/4*2





=sqrt 1/2 + 1/2 + (sqrt 1/2)/2





=1/2 + 3sqrt(0.5)/2





A=1/2, B=3/2, C=1/2
Reply:sqrt 1/2 + sqrt 1/4 + sqrt 1/8


= √1/2 + 1/2 + √[(1/2)(1/4)]


= 1√1/2 + 1/2 +1/2√1/2


= 1/2 +3/2√1/2


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