Find the product of the radical expression: \$ 7 (\sqrt3) times (\sqrt27) \$.

A) 63

B) 42

C) 15

D) 23

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

A) \$ 5/6\$

B) \$ 3/2\$

C) \$ 14/3 \$

D) \$ 2/3\$

Simplify \$2\sqrt(12) - \sqrt(75) + 4\sqrt(3)\$.

A) \$3\sqrt(-4)\$

B) \$-3\sqrt(3)\$

C) \$3\sqrt(3)\$

D) \$3\sqrt(-4)\$

Simplify \$ 2 root(3)(27y) - 3 root(3)(125y^4)\$.

A) \$ root(3)(21y) \$

B) \$ root(3)(y)(6 - 5y) \$

C) \$ root(3)(y)(4 + 15y) \$

D) \$ root(3)(y)(6 - 15y) \$

Adding Unlike Radicals: Simplify \$\sqrt(2) + 2\sqrt(3)\$

A) \$\sqrt(2) - 3\sqrt(3)\$

B) \$\sqrt(2) + 3\sqrt(3)\$

C) \$\sqrt(2) + 3\sqrt(2)\$

D) \$\sqrt(2) + 2\sqrt(3)\$

Find the product \$ 3 root(3)(x) ( 2 root(3)(x^2y^3) + root(3)(x^2) - root(3)(y^3) ) \$.

A) \$ 15xy + 7x - root(3)(xy)\$

B) \$ x^2y^2 + 3x - 2 root(3)(xy^3)\$

C) \$ 6xy + 3x - 3 root(3)(xy^3)\$

D) \$ 3xy - 2x + root(3)(x^2y^3)\$

Simplify the following expression \$ 20 root(3)(x^4y^6) \div 4 root(3)(x^2y^5) \$.

A)\$ 4/3 root(3)(xy)\$

B) \$ 5 root(3)(x^2 y) \$

C) \$ 10 root(3)(x^2 y^2) \$

D) \$ 14 root(3)(27x)\$

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

A) \$8\sqrt(2)\$

B) \$4\sqrt(2)\$

C) \$- 8\sqrt(2)\$

D) \$4\sqrt(2)\$

Dividing the radical expression \$(2\sqrt5 + \sqrt3) \div (2\sqrt5 - \sqrt3)\$.

A) \$ \sqrt2 + \sqrt(3/2) \$

B) \$ ( 23 + 4\sqrt(15))/ (17) \$

C) \$ ( 12 - 3\sqrt(21))/ (19) \$

D) \$ 3\sqrt10 \$

Simplify the following expression: \$ \sqrt(18p^3 q^2) \div \sqrt(12pq) \$.

A) \$ \sqrt(1/2) p \sqrtq \$

B) \$ \sqrt(3/2) p \$

C) \$ \sqrt(3/2) p \sqrtq \$

D) \$ \sqrt(3/2) \sqrtq \$