Find the value of \(\sqrt{{385}+\sqrt{{213} +\sqrt{{144}}}}\)
Find the value of / मान ज्ञात कीजिए।
\(\sqrt{{385}+\sqrt{{213} +\sqrt{{144}}}}\)
Detailed Solution & Logic
Correct Answer:
20
Given expression:
$\sqrt{385+\sqrt{213+\sqrt{144}}}$
First, solve the inner root:
$\sqrt{144} = 12$
So,
$\sqrt{385+\sqrt{213+12}}$
$= \sqrt{385+\sqrt{225}}$
$= \sqrt{385+15}$
$= \sqrt{400}$
$= 20$
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