Question

Si=m+n=8
mn=14
calcule raiz m2+n2

Answer 1

Respuesta:

= 6

Explicación paso a paso:

${(m +n) }^{2} = {m}^{2} + 2 mn+ {n}^{2}$

Reemplazamos datos:

${(8)}^{2} = {m}^{2} + {n}^{2} + 2(14)$

$64 = 28 + {m}^{2} + {n}^{2}$

$64 - 28 = {m}^{2} + {n}^{2}$

$36 = {m}^{2} + {n}^{2}$

$\sqrt{36} = \sqrt{ {m}^{2} + {n}^{2} }$

$6 = \sqrt{ {m}^{2} + {n}^{2} }$