Question

A=V1+})(-}) B=71- )(-5) 8​

Answer 1

Respuesta:

$A=\sqrt{\left(1+\frac{3}{5}\right)\left(1-\frac{3}{5}\right)}=\frac{4}{5}\quad \left(\mathrm{Decimal:\quad }\:0.8\right)$

$B=\sqrt{\left(1-\frac{5}{3}\right)\left(1-\frac{5}{3}\right)}=\frac{2}{3}\quad \left(\mathrm{Decimal:\quad }\:0.66666\dots \right)$

Explicación paso a paso:

$A=\sqrt{\left(1+\frac{3}{5}\right)\left(1-\frac{3}{5}\right)}$

$A=\sqrt{\frac{8}{5}\left(-\frac{3}{5}+1\right)}$

$A=\sqrt{\frac{8}{5}\cdot \frac{2}{5}}$

$A=\sqrt{\frac{16}{25}}$

$A=\frac{\sqrt{16}}{\sqrt{25}}$

$A=\frac{4}{5}$

$B=\sqrt{\left(1-\frac{5}{3}\right)\left(1-\frac{5}{3}\right)}$

$B=\sqrt{\left(1-\frac{5}{3}\right)^2}$

$B=\sqrt{\frac{2^2}{3^2}}$

$B=\frac{\sqrt{2^2}}{\sqrt{3^2}}$

$B=\frac{\sqrt{2^2}}{3}$

$B=\frac{2}{3}$

De Nada<3

Saludos.