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  • Given root3 = 1.732 app., find to three places of decimal the value of (1+2 root3)/2- root3

Given root3 = 1.732 app., find to three places of decimal the value of (1+2 root3)/2- root3

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eginarrayl extGiven:\ \ frac1+2sqrt32-sqrt3\ \ extRationalising the denominator, we get\ \ frac1+2sqrt32-sqrt3 imesfrac2+sqrt32+sqrt3=frac2+5sqrt3+64-3=8+5sqrt3\ \ =8+5 imes1.732\ \ =8+8.66\ \ =16.66endarray

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Deependra Verma

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