Question

50 POINTS PLEASE HELP

Answer 1

Answer:

B. An irrational number

Step-by-step explanation:

4√20 can not be written in the fraction form, hence not rational

√20 is not an integer, hence 4√20 is also not at integer

Answer 2

Answer:

B

Step-by-step explanation:

A rational number is one that can be written in the form p/q, where p and q are whole numbers. However, $4\sqrt{20} =8\sqrt{5}$ cannot be simplified further. It is impossible to write it in the form of p/q, so it's not A.

An irrational number is just the opposite of a rational one: it can't be written in the form p/q. Since $4\sqrt{20} =8\sqrt{5}$ isn't rational, it's irrational, so B is correct.

An integer is a number without any decimal values. $4\sqrt{20} =8\sqrt{5}$ is approximately 17.889. Clearly, this is a decimal, so it's not C.

D is wrong because we know $4\sqrt{20} =8\sqrt{5}$ is irrational.

Hope this helps!