Question 53

Smallest positive number amongst the numbers
(a) $$10 - 3\sqrt{11}$$ (b) $$3\sqrt{11} - 10$$ (c) $$18 - 5\sqrt{13}$$ (d) $$51 - 10\sqrt{26}$$ is

Solution

Option D has to be the smallest, since $$\sqrt{\ 26}$$ is nearly 5.1, which when multiplied with 10 shall get almost totally cancel out the positive number 51.

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SRCC GBO 2012 Question Paper

Smallest positive number amongst the numbers(a) $$10 - 3\sqrt{11}$$ (b) $$3\sqrt{11} - 10$$ (c) $$18 - 5\sqrt{13}$$ (d) $$51 - 10\sqrt{26}$$ is

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Smallest positive number amongst the numbers
(a) $$10 - 3\sqrt{11}$$ (b) $$3\sqrt{11} - 10$$ (c) $$18 - 5\sqrt{13}$$ (d) $$51 - 10\sqrt{26}$$ is