Can the product of two irrational numbers be rational? explain your answer and support with an example.

Sample Response: Yes, the product can be rational. The best example for this to happen is if you take the square root of a non-perfect square and square it, or multiply it by itself. This “undoes” the squaring, so you get a whole number, e.g. √5x√5 = 5.

Step-by-step explanation:

this is for edguinuity

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: