The square root of (50) + (48) is - Vidyadip

MCQ

The square root of $\sqrt {(50)} + \sqrt {(48)} $ is

A
${2^{1/4}}(3 + \sqrt 2 )$
B
${2^{1/4}}(\sqrt 3 + 2)$
C
${2^{1/4}}(2 + \sqrt 2 )$
✓
${2^{1/4}}(\sqrt 3 + \sqrt 2 )$

✓

Answer

Correct option: D.

${2^{1/4}}(\sqrt 3 + \sqrt 2 )$

d
(d) $\sqrt {(50)} + \sqrt {(48)} $= $\sqrt 2 {(\sqrt 3 + \sqrt 2 )^2}$;

$\therefore \sqrt {\sqrt {50} + \sqrt {48} } = {2^{1/4}}(\sqrt 3 + \sqrt 2 )$.

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