Question

Question 23

Write the correct answer from the given four options.

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

a) 14
b) 12
c) 16
d) 13

Answer 1

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]