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Question

If `sqrt(3) = 1.732`, Find the  value of `sqrt(192 ) - 1/2 sqrt(48) - sqrt(75)` correct to 3 places of decimal .


Options:
A .  1.632
B .  1.732
C .  1.546
D .  1.332
Answer: Option B

Sol .    `sqrt(192) - 1/2 sqrt(48) - sqrt(75)`

            = `sqrt(64 xx 3) - 1/2 sqrt(16 xx 3) - sqrt(25 xx 3)`

            = ` 8sqrt(3) - 1/2 xx 4 sqrt(3) - 5sqrt(3)`

           = ` 3sqrt(3) - 2sqrt(3)`

           = ` sqrt(3)   `    =  1.732



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