Which of the following statement(s) is/are TRUE? I. \surd1+\surd2+\surd3+\surd4+\surd5+\surd6>10 II. \surd(10)+\surd(12)+\surd(14)>3\surd(12)

Question 12

Which of the following statement(s) is/are TRUE?
I. $$\surd1+\surd2+\surd3+\surd4+\surd5+\surd6>10$$

II. $$\surd(10)+\surd(12)+\surd(14)>3\surd(12)$$

Solution

$$\sqrt{1}+\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{\ 5}+\sqrt{6}=10.83.$$

it means that (I) is correct.

And, $$\sqrt{10}+\sqrt{12}+\sqrt{14}=10.36.$$

but, $$3\sqrt{12}=10.39.$$

So, (II) is not correct .

So, A is correct choice.

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