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: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.