Question

which of the following is rational expression?
which of the following is not rational expression?

Answer 1

Answer:

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions. The last one may look a little strange since it is more commonly written 4x2+6x−10 4 x 2 + 6 x − 10 .

So this is how to know if a rational expression is proper or improper: Proper: the degree of the top is less than the degree of the bottom. Improper: the degree of the top is greater than, or equal to, the degree of the bottom.

Answer 2

Correct question:

Which of the following is not a rational number?

A. √2

B. √4

C. √9

D. √16

√2 is not a rational number.

Given:

√2

√4

√9

√16

To find:

Which of the following is not a rational number?

Solution:

√2 = 1.4142135623730951....

√4 =  $\sqrt{2*2}$ = 2

√9 = $\sqrt{3*3}$ = 3

√16 = $\sqrt{2*2*2*2}$ = 2*2 = 4

As we can see the decimal representation of  √2  is non-terminating non-repeating.

Hence,  √2  is an irrational number.

Therefore, option A is correct.

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