Radical operation

Multiple Choice

Simplify

Multiple Choice

Simplify $$\sqrt[]{45n^3}$$  

• $$3n\sqrt[]{5n}$$  

• $$4n\sqrt[]{8}$$  

• $$4n\sqrt[]{-8}$$  

• $$10\sqrt[]{n}$$  

Multiple Choice

Simplify the radical... $$\sqrt[]{20a^2b^4}$$  

• $$2ab^2\sqrt[]{5}$$  

• $$4ab^2\sqrt[]{5}$$  

• $$5ab^2\sqrt[]{5}$$  

• $$2a^2b^2\sqrt[]{5}$$  

Multiple Choice

Simplify  $$-11\sqrt[]{21}-11\sqrt[]{21}$$  

• 0
• $$-22\sqrt[]{21}$$  

• $$\sqrt[]{21}$$  

• Already simplified 

Multiple Choice

Simplify  $$-3\sqrt[]{20}-\sqrt[]{5}$$  

• $$-4\sqrt[]{5}$$  

• $$-14\sqrt[]{5}$$  

• $$-7\sqrt[]{5}$$  

• Already simplified 

Multiple Choice

Simplify

Multiple Choice

Simplify $$4\sqrt{5}\left(3+\sqrt{10}\right)$$  

• $$12\sqrt{5}+20\sqrt{2}$$  

• $$12\sqrt{5}+4\sqrt{2}$$

• $$32\sqrt{7}$$

• $$7\sqrt{32}$$

Multiple Choice

What is the conjugate of: $$6-3\sqrt{2}$$  

• $$6+3\sqrt{2}$$  

• $$3\sqrt{2}+6$$  

• $$6-3\sqrt{2}$$  

• 18

Multiple Choice

Rationalize the denominator. $$\frac{4}{\sqrt{5}}$$  

• $$\frac{4\sqrt{5}}{5}$$  

• $$\frac{\sqrt{5}}{4}$$  

• $$\frac{\sqrt{6}}{3}$$  

• $$\frac{5\sqrt{2}}{2}$$  

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• (x²√2x) ∕ y
• (10x²√x) ∕ (y√5)
• (2x⁵) ∕ (y²)
• x√(2x)

Multiple Choice

Simplify $$\frac{7\sqrt{60}}{\sqrt{3}}$$

• $$14\sqrt{5}$$  

• $$5\sqrt{14}$$  

• $$14+\sqrt{5}$$  

• $$5+\sqrt{14}$$  

Multiple Choice

Divide and simplify.

• 4x√x
• 3x²/x³√36
• 2x
• 4x²

Multiple Choice

Perform the operation.  Express your answer in simplest form.

• (2k√2)/(3k⁴)
• (2√2)/(3k³)
• (2k²√2)/(3k⁶)
• (4k²√2)/(9k⁶)

Multiple Choice

Simplify $$4\sqrt{5}\left(3+\sqrt{10}\right)$$  

• $$12\sqrt{5}+20\sqrt{2}$$  

• $$12\sqrt{5}+4\sqrt{2}$$

• $$32\sqrt{7}$$

• $$7\sqrt{32}$$

Multiple Choice

$$5\sqrt[3]{40}\ -\ 3\sqrt[3]{5}\ =$$  

• $$2\sqrt[3]{45}$$  

• $$2\sqrt[3]{8}$$  

• $$7\sqrt[3]{5}$$  

• $$2\sqrt[3]{5}$$  

Multiple Choice

$$\sqrt[]{11x^5}\cdot\sqrt[]{11x^5}\ \ =$$  

• $$11\sqrt[]{x^5}$$  

• $$11x$$  

• $$11x^5$$  

• $$121x^5$$  

Multiple Choice

$$3\sqrt[]{ab}\cdot6\sqrt[]{ab}$$  

• $$18\sqrt[]{ab}$$  

• $$3ab\sqrt[]{2}$$  

• $$9ab$$  

• $$18ab$$  

Multiple Choice

What is the conjugate of $$-9+9\sqrt{2}$$  

• $$-9-9\sqrt{2}$$  

• $$9+9\sqrt{2}$$  

• $$-9+9\sqrt{2}$$  

Multiple Choice

$$\frac{\sqrt{90x^{18}}}{\sqrt{2x}}$$  Simplify the expression by performing the indicated operation and making sure the answer is in simplest form.  Assume all variables represent positive numbers.

• $$5x\sqrt{3x^8}$$  

• $$2x^8\sqrt{22x}$$  

• $$3x^8\sqrt{5x}$$  

• $$3\sqrt{2x^{17}}$$  

Multiple Choice

$$^3\sqrt{\frac{7}{9x^2}}$$  Simplify the expression by performing the indicated operation and making sure the answer is in simplest form.  Assume all variables represent positive numbers.

• $$\frac{^3\sqrt{21x}}{3x}$$  

• $$\frac{^3\sqrt{567x}}{81}$$  

• $$\frac{^3\sqrt{63x}}{9x}$$  

• $$\frac{^3\sqrt{567x^2}}{9x}$$