Question

\\" alt="\sqrt{3} +\sqrt{x} =3\\" align="absmiddle" class="latex-formula">

Answer 1

Answer:

in place of x there will be 6

Answer 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

value of x is equal to ~

$\boxed{30 - 6 \sqrt{3} }$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's solve for x ~

• $\sqrt{3} + \sqrt{x} = 3$

• $\sqrt{x} = 3 - \sqrt{3}$

• ${(\sqrt{x} ) }^{2} = (3 - \sqrt{3} ) {}^{2}$

• $x = 3 {}^{2} + (\sqrt{3} ) {}^{2} - (2 \times 3 \times \sqrt{3} )$

• $x = 27 + 3 - 6 \sqrt{3}$

• $x = 30 - 6 \sqrt{3} \: \: or \: \: 6(5 - \sqrt{3} )$