Radicals

​Radical Expressions

Open Ended

Names & IDs

Making sense of irrational numbers - Ganesh Pai | TED-Ed

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Simplify. $$\sqrt[]{9x^{10}y^5}$$  

Multiple Choice

Simplify: $$\sqrt[]{24x^2}$$  

• $$2x\ \sqrt[]{6}$$  

• $$4x\ \sqrt[]{6}$$  

• $$2\ \sqrt[]{12x}$$  

• $$2x\ \sqrt[]{6x}$$  

Multiple Choice

Simplify:

$$\sqrt[]{40ab^2}$$  

• $$2b\ \sqrt[]{10a}$$  

• $$4b\ \sqrt[]{10a}$$  

• $$2ab\ \sqrt[]{10}$$  

• $$10b\ \sqrt[]{4a}$$  

Multiple Choice

Simplify:

$$-2\sqrt[]{75xy^2}$$  

• $$-10y\ \sqrt[]{3x}$$  

• $$-50y\ \sqrt[]{3x}$$  

• $$-10\ \sqrt[]{3xy^2}$$  

• $$-6x\ \sqrt[]{9y^2}$$  

Multiple Choice

$$2\ \sqrt[]{80}-6\ \sqrt[]{20\ }=$$  

(Hint: These are not like terms, so you must simplify both radicals first)

• $$15\ \sqrt[]{5}$$  

• $$-4\ \sqrt[]{5}$$  

• $$4\ \sqrt[]{5}$$  

• $$8\ \sqrt[]{5}$$  

Multiple Choice

$$3\sqrt{6}+4\sqrt{6}$$  

• 42

• $$7\sqrt{6}$$

• $$7\sqrt{12}$$

• $$\sqrt{12}$$

Multiple Choice

Simplify (break $$\sqrt[]{20}$$  into it's factors) and combine like terms:

• 0
• $$\sqrt[]{5}$$

• 1
• $$-2\ \sqrt{15}$$

Multiple Choice

$$5\sqrt{6}\ +\ 8\ \sqrt{6}-\ 3\sqrt{6}$$  

• $$10\sqrt{6}$$  

• $$16\sqrt{6}$$  

• $$\sqrt{6}$$  

Multiple Choice

Simplify:

• $$-5\sqrt[]{1}$$

• $$8\sqrt[]{2}+13\sqrt[]{3}$$

• $$21\ \sqrt[]{5}$$

• $$20\ \sqrt[]{5}$$

Multiple Choice

Simplify:

• $$\sqrt{18}+11\sqrt{2}$$

• $$22\sqrt{5}$$

• $$11\sqrt{20}$$

• $$14\sqrt{2}$$

Multiple Choice

$$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$$  

• $$8\sqrt{3}+15\sqrt{2}$$  

• $$8\sqrt{2}+15\sqrt{3}$$  

• $$25\sqrt{2}$$  

Multiple Choice

$$-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}$$  

• $$24\sqrt{2}$$  

• $$44\sqrt{2}$$  

• $$62\sqrt{2}$$  

Multiple Choice

Subtract the following radical expressions and simplify if possible.

$$15\sqrt[3]{21}-11\sqrt[]{21}$$  

• $$4\ \sqrt[]{21}$$  

• $$4\ \sqrt[]{21}$$  

• Not Possible

• $$4\sqrt[3]{21}$$  

Multiple Choice

Simplify:

• $$7\sqrt{2}-3\sqrt{5}$$

• $$9\sqrt{5}-5\sqrt{6}$$

• $$5\sqrt{2}+4\sqrt{5}$$

• $$7\sqrt{5}-4\sqrt{6}$$

Multiple Choice

Simplify:

$$\frac{1}{5}\sqrt{50}-2\sqrt{75}-\frac{1}{3}\sqrt{72}-\frac{1}{2}\sqrt{108}$$  

• $$-\sqrt{2}-13\sqrt{3}$$  

• $$-2\sqrt{2}-10\sqrt{3}$$  

• $$-\sqrt{3}+3\sqrt{2}$$  

Multiple Choice

Simplify:

• 8

• -2

• - 4

• It's an imaginary number.

Multiple Choice

Write in exponential form:
  $$\sqrt[5]{4^3}$$

• 4^3/5
• 4^5/3
• 4^2/3
• 4^3/2

Multiple Choice

Write in radical form:
4^4/6

• $$4\sqrt{4}$$

• $$\sqrt[6]{4^4}$$

• $$\sqrt[4]{6^4}$$

• $$\sqrt[4]{4^6}$$