Question

50 POINTS PLEASE HELP

what type of number is 4√20
a/ a rational number
b. an irrational number
c. an Inger
d. none of these

Answer 1

B. An irrational number

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

B

Explanation:

A rational number is one that can be written in the form p/q, where p and q are whole numbers. However,
`4√(20) =8√(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√(20) =8√(5)` isn't rational, it's irrational, so B is correct.

An integer is a number without any decimal values.
`4√(20) =8√(5)` is approximately 17.889. Clearly, this is a decimal, so it's not C.

D is wrong because we know
`4√(20) =8√(5)` is irrational.

Hope this helps!