is the cubed root of 37 irrational?

Question

anonymous · Answer

sis needs help

anonymous · Answer

@paki

anonymous · Answer

@zepdrix

anonymous · Answer

@hartnn

paki · Answer

what you guess about it...?

anonymous · Answer

she thinks that it is irrational.

paki · Answer

ok, tell her, is she know rational and irrational....?

anonymous · Answer

she says that a rational number can be turned into a fraction and sometimes irrational numbers can be formed into a fraction too

anonymous · Answer

@paki

paki · Answer

sorry for this bad lag here...


A rational number is a number that can be expressed as a fraction or ratio.  

An irrational number cannot be expressed as a fraction.

paki · Answer

so now what she guess about the answer...?

paki · Answer

i mean is the cube root of 37 is a rational or irrational...?

anonymous · Answer

she still thinks that it is irrational lol

paki · Answer

yeah rite... and please have a look here too... http://math.stackexchange.com/questions/102348/how-can-one-prove-that-the-cube-root-of-9-is-irrational

zepdrix · Answer

Hey gamer :)

A value is `rational` if it can be written as a ratio of INTEGERS.
Example:$$\Large\rm \sqrt{4}=2\qquad=\quad \frac{2}{1}$$square root of 4 is rational because it can be written as the ratio of 2 and 1.

Here is a little tip, any number that is NOT a perfect square will be irrational when you take the square root of it.

Same goes for cube roots,
is 37 a perfect cube?

zepdrix · Answer

27 is a perfect cube,
$\Large\rm 27=3^3$

anonymous · Answer

now she said that if the cubed root of 24.625 is irrational.

paki · Answer

@zepdrix  yeah agree... and what about 37...

anonymous · Answer

she changed her mind about being irrational

zepdrix · Answer

$$\Large\rm 3^3=27$$$$\Large\rm 4^3=64$$

37 falls somewhere in the middle of those values.
It is not a perfect cube, therefore the cube root of 37 is irrational.

Changed her mind about what?
You are so confusing gamer :( I can't understand what you're saying...

paki · Answer

actually she want now about 24.625 figure...

anonymous · Answer

sorry i am her younger bro so i dont know this stuff.

paki · Answer

ok... open this link for her... each and everything is clearly explained there... http://www.regentsprep.org/regents/math/algebra/AOP1/Lrat.htm

anonymous · Answer

she just went into an irrational number calculator and found out that the cubed root of 24.625 is irrational.

paki · Answer

yeah so?

anonymous · Answer

she said thanks for the xtra information lol

paki · Answer

pleasure...