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This is one of our many quizzes on Roots. Click on this to access more such competitive quizzes on Quadratic Equations.

Roots Quiz 2

mathematics

 Which of this gives an integer as an answer. 

 Just need to interpret the other pair by the first square root

$\sqrt {\sqrt {121}  + \sqrt {\sqrt {256}  + \sqrt {81} } }  \\ \Rightarrow  \sqrt {11 + 5}  \\ \Rightarrow  4 \\  $

 Check which one has a bigger overall pairing for the numerator.

$\dfrac{{\sqrt {289}  + \sqrt {25} }}{{\sqrt {324}  + \sqrt 9 }} \\ \Rightarrow  \dfrac{{17 + 5}}{{18 + 3}} \\ \Rightarrow  \dfrac{{22}}{{21}} \\  $

 Solve the following: $\sqrt {\sqrt[3]{{\dfrac{{\sqrt {289}  + \sqrt {25}  + \sqrt {484}  + \sqrt {400} }}{{\sqrt {324}  + \sqrt 9  + \sqrt {625}  + \sqrt {324} }}}}} $

 Just see whether the total number inside exceeds 1.

$\sqrt {\sqrt[3]{{\dfrac{{\sqrt {289}  + \sqrt {25}  + \sqrt {484}  + \sqrt {400} }}{{\sqrt {324}  + \sqrt 9  + \sqrt {625}  + \sqrt {324} }}}}}  \\ \Rightarrow  \sqrt {\sqrt[3]{1}}  \\ \Rightarrow  1 \\  $

$\dfrac{{\sqrt {16}  + \sqrt 9  + \sqrt {81} }}{{\sqrt {16}  + \sqrt {25} }} \\ \Rightarrow  \dfrac{{16}}{9} \\  $