Find the value of x if \$\sqrt("x" + 5) - \sqrt("x" - 3) = 2\$.

A) 16

B) 4

C) 8

D) 12

Rationalize the following expression and simplify:
\$ 3/(\sqrt2 + \sqrt3)\$.

A) \$ 3\sqrt3 + 3\sqrt2\$

B) \$ -3\sqrt3 + 3\sqrt2\$

C) \$ 3\sqrt3 - 3\sqrt2\$

D) \$- 3\sqrt2 - 3\sqrt3\$

Solve for x:
\$ \sqrt("x" + 6) - \sqrt"x" = 2\$.

A) 4

B) \$ 1/2\$

C) 2

D) \$ 1/4\$

Solve for x:
\$ root(3)(2"x" - 3) = 3\$.

A) 15

B) 12

C) 17

D) 10

Simplify the expression: \$ root(3)(8) times \sqrt2 + \sqrt8 times 3\$.

A) \$ 2(\sqrt2 + \sqrt6) \$

B) \$ 3(\sqrt2 - \sqrt6) \$

C) \$ 2(\sqrt3 + \sqrt7) \$

D) \$ 5(\sqrt2 - \sqrt6) \$

Solve for x:
\$ \sqrt("x"^2 - 6"x" + 9) = 2"x" - 3 \$.

A) 2

B) 24

C) 14

D) 8

Find the value of x if \$ root(3)("x" - 2) + \sqrt"x" = 6 \$.

A) \$"x"^(3/2) - 17"x" - 108\sqrt"x" - 218\$

B) \$"x"^(3/2) + 17"x" - 108\sqrt"x" + 228\$

C) \$"x"^(3/2) - 17"x" + 108\sqrt"x" - 216\$

D) \$"x"^(3/2) + 25"x" - 108\sqrt"x" - 210\$

Simplify the expression:
\$ \sqrt(144)/(root(3)(27) + root(3)(125))\$.

A) \$ 5/6\$

B) \$ 3/2\$

C) \$ 2/3\$

D) \$ 14/3 \$

Simplify the following expression:
\$ root(3)(54) + root(3)(16) - root(3)(128) \$.

A) \$ root(3)(3)\$

B) \$ root(3)(6)\$

C) \$ root(3)(2)\$

D) \$ root(3)(9)\$

Solve for x:
\$ root(3)(3"x" + 4) + root(3)(3"x" - 4) = 2\$.

A) \$ 3/4\$

B) \$ 2/3\$

C) \$ 6/5\$

D) \$ 4/3\$