Question

5.√83 + 3.(1010:108 ) – 2.(4+1) – ( 3+2) 2 = ?

Answer 1

Respuesta:

30\sqrt{2}+\frac{145}{18}\quad \left(\mathrm{Decimal:\quad }\:50.48196\dots \right)

Explicación paso a paso:

\mathrm{Quitar\:los\:parentesis}:\quad \left(a\right)=a

=5\sqrt{8}\cdot \:3+3\cdot \frac{1010}{108}-2\left(4+1\right)-\left(3+2\right)\cdot \:2

=30\sqrt{2}+\frac{505}{18}-10-10

\mathrm{Restar:}\:-10-10=-20

=\frac{505}{18}+30\sqrt{2}-20

\mathrm{Convertir\:a\:fracción}:\quad \:20=\frac{20\cdot \:18}{18}

=-\frac{20\cdot \:18}{18}+\frac{505}{18}

\mathrm{Ya\:que\:los\:denominadores\:son\:iguales,\:combinar\:las\:fracciones}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{-20\cdot \:18+505}{18}

=30\sqrt{2}+\frac{145}{18}