UNIT TEST STUDY GUIDE ON RADICALS

Multiple Choice

What is the square root symbol called?

• Radicand
• Radical
• The house
• It doesn't have a name

Multiple Choice

Simplify: use the prime factor method OR the simplify by finding perfect square

• 2√12
• 4√12
• 4√3
• 16√3

Multiple Choice

√128

• 64√2
• 16
• 2√8
• 8√2

Multiple Choice

simplify the radical first.

then multiply with the number outside the radial

• A
• B
• C
• D

Multiple Choice

Simplify  $$\sqrt{88}$$   

• $$8\sqrt{11}$$  

• $$2\sqrt{22}$$  

• $$8\sqrt{8}$$  

• $$11\sqrt{8}$$  

Multiple Choice

Simplify the radicand(number)

if the exponents on the variable are even numbers then divide the exponent by 2 and bring them outside the radical sign

Multiple Choice

Simplify
-3√24 - √18 - 2√54=

• -12√5 - 3√2
• -12√6 - 3√2
• -3√2+ 12√3
• 3√2

Multiple Choice

Simplify 
3√6 - 4√6

• -√6
• √6
• -1
• Already simplified 

Multiple Choice

Simplify 
9√2 + 12√3

• 21√5
• 21√2
• 21√3
• Already simplified 

Multiple Choice

Simplify 
3√6 - 4√6

• -√6
• √6
• -1
• Already simplified 

Multiple Choice

Simplify 
3√8 + 3√2

• 9√2
• 6√10
• 5√2
• Already simplified 

Multiple Choice

Simplify 
3√5 + √20 - √45

• 3√-20
• 2√-20
• 3√5
• 2√5

Multiple Choice

Simplify 
3√6 - 4√6

• -√6
• √6
• -1
• Already simplified 

Multiple Choice

 Simplify:   2√40 - 3√10 

• 5√10
• √10
• -√30

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Simplify 2√5(3√3+6√2)

• 6√15+12√10
• 15√6+30√10
• 90
• 6√10+12√6

Multiple Choice

Simplify $$\sqrt{6}\left(\sqrt{6}+\sqrt{10}\right)$$  

• $$6+2\sqrt{15}$$  

• $$8\sqrt{15}$$  

• $$\sqrt{96}$$  

• $$6\sqrt{6}+2\sqrt{15}$$  

Multiple Choice

Simplify $$\sqrt{30}\left(\sqrt{3}-\sqrt{12}\right)$$  

• $$-3\sqrt{10}$$  

• $$3\sqrt{10}$$  

• $$10\sqrt{3}$$  

• $$-10\sqrt{3}$$

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

Simplify $$2\sqrt{6}\left(5\sqrt{3}+4\right)$$  

• $$30\sqrt{2}+8\sqrt{6}$$

• $$38\sqrt{8}$$

• $$76\sqrt{2}$$

• $$2\sqrt{30}+6\sqrt{8}$$

Multiple Choice

Simplify $$\left(2+\sqrt{3}\right)\left(8-\sqrt{3}\right)$$  

• $$13+6\sqrt{3}$$

• $$13-6\sqrt{3}$$

• $$19+10\sqrt{3}$$

• $$19-10\sqrt{3}$$

Multiple Choice

Simplify  $$\frac{\sqrt{6}}{\sqrt{50}}$$

• $$\frac{\sqrt{3}}{5}$$  

• $$\frac{\sqrt{5}}{3}$$  

• $$\sqrt{\frac{3}{25}}$$  

• $$\sqrt{\frac{25}{3}}$$  

Multiple Choice

Simplify $$\sqrt{\frac{8}{98}}$$  

• $$\frac{2}{7}$$  

• $$\frac{7}{2}$$  

• $$\sqrt{\frac{2}{7}}$$  

• $$\sqrt{\frac{7}{2}}$$  

Multiple Choice

Simplify 
3√8 + 3√2

• 9√2
• 6√10
• 5√2
• Already simplified 

Multiple Choice

Simplify 
3√5 + √20 - √45

• 3√-20
• 2√-20
• 3√5
• 2√5

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Simplify:
√10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Multiple Choice

$$3\sqrt[]{20}\cdot3\sqrt[]{20}$$  

• $$24\sqrt[]{10}$$  

• 20

• 40

• 180

Multiple Choice

$$\sqrt[]{15}\cdot4\sqrt[]{3}$$  

• $$12\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

• 45

• $$3\sqrt[]{2}$$  

Multiple Choice

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

• $$14\sqrt{5}$$  

• $$5\sqrt{14}$$  

• $$14+\sqrt{5}$$  

• $$5+\sqrt{14}$$  

Multiple Choice

Multiply and simplify if possible:

$$\sqrt[]{x^2}\cdot\sqrt[]{x^8}$$  

• $$x^5$$  

• $$x^3\sqrt[]{x}$$  

• $$x^{10}$$  

• $$x^4$$  

Multiple Choice

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

Multiple Choice

Multiply and simplify if possible:

$$\sqrt[]{4x^7}\cdot\sqrt[]{6x^2}$$  

• $$4x^3\sqrt[]{5x^2}$$  

• $$2x^4\sqrt[]{6x}$$  

• $$6\sqrt[]{4x^9}$$  

• $$2x\sqrt[]{6}$$