1) Complete: 1) The conjugate of the number \( \frac{2 \sqrt{5}-3 \sqrt{2}}{\sqrt{2}} \) is .........

Aplica la propiedad del cociente de potencias a esta expresión: \( \frac{y^{5}}{y^{-2}} \).

Simplify the radical expression: \( \sqrt{50x^2} \)

2.) The function \( g \) is related to one of the parent functions \( g(x)=x 2-3 \) The parent function is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).

[a] Find the S.S. of the equation in \( \mathbb{R}:\left(x^{2}+4\right)\left(x^{2}-9\right)=0 \)

Reduciendo la siguiente expresión \( \sqrt{\frac{20^{x+1}}{4^{x+2}+2^{2 x+2}}} \)