Question

Can someone help me reword these two things? I don't like how I did them but I can't think of anything else. Thanks!!

1. PROMPT: What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number.

My answer that needs reworded: Any number that can be expressed as a fraction of the form a/b, where b is not equal to 0, is rational. A number that can't be expressed as a fraction in the form a/b is irrational.

Decimals which terminates is rational.
Decimals which repeats is rational.
Decimals which doesn't show any repeating decimals and which is never-ending is irrational.

Examples:

5/8 - rational
2.252525... rational
5.878787.. rational
9.895043... irrational
pi - irrational

√5 or any square root of a number which isn't a perfect square is irrational.

√16 -- rational, but √17 -- irrational.

2. PROMPT: How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation.

My answer that needs reworded: To find the square root, you would want to find the number y as in y x y = 64. y = 8.

To find the cube root, you want to find the number z as in z x z x z = 64. z = 4.

If the root is not a perfect fit, then you have to use a numeric method to approximate the value.

Thanks loves!! <3

Answer 1

9.895043895043895043895043895043895043 ............ :)

Answer 2

In other words you did not mention that if the numbers repeat it is rational and even if with some difficulty a whole numerator and denominator can be found.

Answer 3

ThIs Is NoT UnDeRsTaNdIbLe HoW DoEs ThE ThInG WoRk
I NeEd ThIs FoR A TeSt

Answer 4

bot?