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  4. If x=√3018+√36+√169, then the value of x is

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Q. If $ x=\sqrt{3018+\sqrt{36+\sqrt{169}}}, $ then the value of x is

J & K CETJ & K CET 2003

Solution:

Given that, $ x=\sqrt{3018+\sqrt{36+\sqrt{169}}} $
$=\sqrt{3018+\sqrt{36+13}}=\sqrt{3018+7} $
$=\sqrt{3025}=55 $