Aquotient is considered rationalized if its denominator contains no

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:

The first quotient (q1) is rationalized because

The second quotient (q2) is not rationalized because

The third quotient (q3) is not rationalized because

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

Read more about quotients at:

link

  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 set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

i’m sorry but i don’t know sorry