Question

A quotient is considered rationalized if its denominator contains no

Answer 1

Answer:

  radicals or complex numbers

Step-by-step explanation:

A "rationalized" denominator consists entirely of a real number or variable expression with real coefficients. Preferably, any number(s) will be integer(s).

Answer 2

A rationalized quotient is that which its denominator that has no complex numbers or radicals. A quotient is considered rationalized if its denominator contains no  complex numbers or radicals

Take for instance, the following quotients:

$q_1 = \frac{3}{4}$

$q_2 = \frac{3}{4\sqrt 2}$

$q_3 = \frac{3}{4 - 2i}$

The first quotient (q1) is rationalized because

• It has no radical
• It has no complex number

The second quotient (q2) is not rationalized because

• It has a radical (i.e. $\sqrt$)

The third quotient (q3) is not rationalized because

• It has a complex number (i.e. 3i)

Hence, a quotient is considered rationalized if its denominator contains no  complex numbers or radicals

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