[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
value of x is equal to ~
[tex] \boxed{30 - 6 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
- [tex] \sqrt{3} + \sqrt{x} = 3[/tex]
- [tex] \sqrt{x} = 3 - \sqrt{3} [/tex]
- [tex]{(\sqrt{x} ) }^{2} = (3 - \sqrt{3} ) {}^{2} [/tex]
- [tex]x = 3 {}^{2} + (\sqrt{3} ) {}^{2} - (2 \times 3 \times \sqrt{3} )[/tex]
- [tex]x = 27 + 3 - 6 \sqrt{3} [/tex]
- [tex]x = 30 - 6 \sqrt{3} \: \: or \: \: 6(5 - \sqrt{3} )[/tex]
