Chapter 5: Radical Expressions and Equations

Question 1

identify the coefficient, index and radicand in this radical

15∛27x

Answer 1

coefficient- 15
index - 3
radicand - 27x

Question 2

if the index of a radicand is _____ then the radicand cannot be _______

Answer 2

if the index of a radicand is even then the radicand cannot be negative

Question 3

when simplifying radicals you may be required to manipulate the expression so as not to have a radical in the denominator so in this case you need to _______

Answer 3

when simplifying radicals you may be required to manipulate the expression so as not to have a radical in the denominator so in this case you need to rationalize

Question 4

when a solution doesn’t satisfy the original equation after verification, or doesn’t meet the restrictions, it is called an ________

Answer 4

extraneous root

Question 5

what’s the shortcut for these perfect squares:

1. a²−b²
2. (a-b)²
3. (a+b)²

Answer 5

1. (a-b)(a+b)
2. a²-2ab+b²
3. a²+2ab+b²