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Question

If 2=1.414,3=1.732,5=2.236 and 6=2.449, find the value of 2+323+232+3+313+1 .

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Solution

The given expression :

2+323+232+3+313+1

On rationalizing,

2+323×2+32+3+232+3×2323+313+1×3131

4+3+4343+4+34343+3+12331

7+431+7431+4232

7+43+743+23

163 161.732=14.268

Answer = 14.268

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