Question

find the value of {(16)^1/2}^1/2​

Answer 1

{(16)^1/2}^1/2

{16^1/2}^1/2

{$\sqrt 16$}^1/2

{4} ^1/2

4^1/2

$\sqrt{4}$

2

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Answer 2

$[(16)^1^/^2]^1^/^2\\\\((4^2)^1^/^2)^1^/^2\\\\ [ \textsc{ 2 \ and \ 1/2 \ gets \ cancelled \ 2 * 1/2 = 2/2 = 1} ] \\\\(4)^1^/^2 = (2^2)^1^/^2 = 2 \\\\ [ \textsc{ 2 \ and \ 1/2 \ gets \ cancelled \ 2 * 1/2 = 2/2 = 1} ]\\\\\textsc{\underline {Answer} : 2 }\\\\\textsc{hope \ it \ helps \ !!}$