Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #241 : Radicals

Possible Answers:

Correct answer:

Explanation:

Combine radicals:

Simplify the radical leftover:

Example Question #4141 : Algebra Ii

Divide and simplify:

Possible Answers:

None of these

Correct answer:

Explanation:

Divide outside number:

Divide radicals:

Simplify radical:

Example Question #4142 : Algebra Ii

Expand, then simplify:  

Possible Answers:

Correct answer:

Explanation:

Foil:

Example Question #4141 : Algebra Ii

Simplify:

Possible Answers:

Correct answer:

Explanation:

 Multiply the numbers inside the radical.

 Factor out a perfect square of .

Example Question #4142 : Algebra Ii

Simplify:

Possible Answers:

Correct answer:

Explanation:

 Multiply the numbers inside the radical.

 Factor out a perfect square of .

Example Question #1481 : Mathematical Relationships And Basic Graphs

Simplify:

Possible Answers:

Correct answer:

Explanation:

 Divide the numbers inside the radicals.

Example Question #1482 : Mathematical Relationships And Basic Graphs

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When multiplying radicals, simply multiply the numbers inside the radical with each other. Therefore:

 

We cannot further simplify because both of the numbers multiplied with each other were prime numbers.

Example Question #51 : Multiplying And Dividing Radicals

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When multiplying radicals, simply multiply the numbers inside the radical with each other. Therefore:

 

We can simplify this by factoring and finding perfect perfect squares.

Example Question #51 : Multiplying And Dividing Radicals

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When we multiply expressions containing both radicals and whole numbers, we simply multiply the numbers inside the radical with each other and those outside the radical with each other. 

We can simplify this by factoring and finding perfect perfect squares.

Example Question #1483 : Mathematical Relationships And Basic Graphs

Simplify:

Possible Answers:

Correct answer:

Explanation:

When dividing radicals, we simply divide the numbers inside the radical. Therefore:

 

The number inside the radical is a prime number and cannot be simplified any further.

Learning Tools by Varsity Tutors