Which of the following statement(s) is/are TR | vedclass

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(A) To compare expressions of the form $\sqrt{a} + \sqrt{b}$,we square them.For $I$: Let $x = \sqrt{11} + \sqrt{7}$ and $y = \sqrt{10} + \sqrt{8}$.$x^

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Only $I$

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(A) To compare expressions of the form $\sqrt{a} + \sqrt{b}$,we square them.For $I$: Let $x = \sqrt{11} + \sqrt{7}$ and $y = \sqrt{10} + \sqrt{8}$.$x^2 = 11 + 7 + 2\sqrt{77} = 18 + 2\sqrt{77}$.$y^2 = 10 + 8 + 2\sqrt{80} = 18 + 2\sqrt{80}$.Since $2\sqrt{77} For $II$: Let $p = \sqrt{17} + \sqrt{11}$ and $q = \sqrt{15} + \sqrt{13}$.$p^2 = 17 + 11 + 2\sqrt{187} = 28 + 2\sqrt{187}$.$q^2 = 15 + 13 + 2\sqrt{195} = 28 + 2\sqrt{195}$.Since $2\sqrt{187} Therefore,only statement $I$ is true.

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $\sqrt{11}+\sqrt{7} < \sqrt{10}+\sqrt{8}$
$II.$ $\sqrt{17}+\sqrt{11} > \sqrt{15}+\sqrt{13}$

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Which of the following statement$(s)$ is/are $TRUE$?$I.$ $\sqrt{11}+\sqrt{7} < \sqrt{10}+\sqrt{8}$$II.$ $\sqrt{17}+\sqrt{11} > \sqrt{15}+\sqrt{13}$