Which statement is true about the value of the expression? (Sqre root 8+4)×4

Question

A)is it rational because the product of two rationals numbers is rational.

B)is it rational because the product of a rational and an irrational number is rational.

C)it is irrational because the product of two irrational numbers is irrational.

D)it is irrational because the product of irrational number and a rational is irrational.

Answer 1

D

 

Square root of 8 is an irrational number, and then adding four still keeps it irrational.  Then, when you multiply this irrational sum but the rational number 4, it is still irrational.