Question

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AYUDAAAA​

Answer 1

Respuesta:

$\boxed{\begin{matrix}a).\sqrt{\fbox{144}}=12&b).\sqrt{\fbox{225}}=15\\\\c).\sqrt{\fbox{43046721}}=9&d).\sqrt{\fbox{121}}=11\end{matrix}}$

Explicación paso a paso:

$\texttt{Llamando x a la cantidad subradical desconocida}\\\texttt{y realizando operaciones nos queda:}$

$a).\\\sqrt{x}=12$

$\texttt{Elevando al cuadrado la ecuaci\'on se tiene:}$

$\left(\sqrt{x}\right)^{2}=(12)^{2}\\\\x=144\Rightarrow\sqrt{\fbox{144}}=12$

$b).\\\sqrt{\fbox{}}=15\\\\\left(\sqrt{\fbox{x}}\right)^{2}=(15)^{2}\\\\x=225\Rightarrow\sqrt{\fbox{225}}=15$

$c).\\\sqrt[8]{\fbox{}}=9\\\\\left(\sqrt[8]{\fbox{x}}\right)^{8}=(9)^{8}\\\\x=43046721\Rightarrow\sqrt[8]{\fbox{43046721}}=9$

$d).\\\sqrt{\fbox{}}=11\\\\\left(\sqrt{\fbox{x}}\right)^{2}=(11)^{2}\\\\x=121\Rightarrow\sqrt{\fbox{121}}=11$