
Complete each statement with the correct term from the column on the right. Some of the choices may not be used and some may be used more than once.
radicand
index
square
complex
cube
conjugate
radical
principal
imaginary
rationalizing
odd
The number c is the ___________root of a, written

The correct term which completes the statement “The number c is the ____ root of a, written
Answer to Problem 1VR
Solution:
The correct term that completes the statement “The number c is the ____ root of a, written
Explanation of Solution
Given Information:
The provided options are,
a) i
b) radicand
c) index
d) square
e) complex
f) cube
g) conjugate
h) radical
i) principal
j) imaginary
k) rationalizing
l) odd
Consider the provided statement is:
The number c is the ____ root of a, written
Since,
For a real number a,
Consider another real number c,
If the third power of c is a- that is, if
Then c is called the cube root of a.
Hence, the correct term that completes the statement is “cube”, which is same as option f).
Consider option a),
Since, the term
And does not complete the statement correctly.
Hence, option a) is incorrect.
Consider option b),
Radicand
Since, the radicand is the expression under the radical.
And does not complete the statement correctly.
Hence, option b) is incorrect.
Consider option c),
Index
Since, the index is the number provided to an expression.
And does not complete the statement correctly.
Hence, option c) is incorrect.
Consider option d),
Square
Since, the square root of a number exists when
And does not complete the statement correctly.
Hence, option d) is incorrect.
Consider option e),
Complex
Since, the term complex corresponds to complex numbers, Example
And does not complete the statement correctly.
Hence, option e) is incorrect.
Consider option g),
Conjugate
Since, conjugate exists for complex numbers,
Ex- conjugate of
And does not complete the statement correctly.
Hence, option g) is incorrect.
Consider option h),
Radical
Since, the radical is the expression
And does not complete the statement correctly.
Hence, option h) is incorrect.
Consider option i),
Principal
Since, principal is the root of the equation such that, non-negative numbers are included.
And does not complete the statement correctly.
Hence, option i) is incorrect.
Consider option j),
Imaginary
Since, imaginary roots are the roots which exist for equations which have no real roots.
And does not complete the statement correctly.
Hence, option j) is incorrect.
Consider option k),
Rationalizing
Since, rationalizing refers to removing irrational terms from the denominator of expressions.
And does not complete the statement correctly.
Hence, option k) is incorrect.
Consider option l),
Odd
Since, odd roots are of the type
And does not complete the statement correctly.
Hence, option l) is incorrect.
The options a), b), c), d), e), g), h), i), j), k), l) do not match the criteria of the equation most easily solved by factorizing.
Hence options a), b), c), d), e), g), h), i), j), k), l) are not correct.
Therefore, the term cube, that is option f), is the correct term that completes the statement.
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Chapter 6 Solutions
Intermediate Algebra (13th Edition)
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