Question

Given the two expressions shown below:

A. square root of 64 plus square root of 5
B. square root of 64 plus square root of 4

Which statement best describes the two expressions?

A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.

Answer 1

The statement that best describes the two expressions is
D. A is irrational, but B is rational

square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number

square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number