Question

the value of
$\sqrt{248 + \sqrt{52 + \sqrt{144} } }$
​

Answer 1

Answer:

16

Step-by-step explanation:

Start solving from the inner under root..

√144=12...

then 52+12=64

√64=8

then...248+8=256

√256=16

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Answer 2

Step-by-step explanation:

$\sqrt{248 + \sqrt{52 + \sqrt{144} } } \\ = \sqrt{248 + \sqrt{52 + 12} } \\ = \sqrt{248 + \sqrt{64} } \\ = \sqrt{248 + 8} \\ = \sqrt{256} \\ = 16$