The value of

Question:

The value of $\sqrt{248+\sqrt{52+\sqrt{144}}}$ is

(a) 14

(b) 12

(c) 16

(d) 13

Solution:

(c) We have, $\sqrt{248+\sqrt{52+\sqrt{144}}}$

$=\sqrt{248+\sqrt{52+12}}$               $[\because$ square root of $144=12]$

$=\sqrt{248+\sqrt{64}}$

$=\sqrt{248+8}$                                 $[\because$ square root of $64=8]$

$=\sqrt{256}=16$                               $[\because$ square root of $256=16]$

 

 

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