Question

Given the two expressions shown below:
A: square root of 4 plus square root of 25
B: square root of 4 plus square root of 2
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

A is rational.

The square foot of 4 is 2, and the square root of 25 is 5.
When they are added, you get 7.
7 can be expressed as a fraction, 7/1, so it is rational.

B is irrational.

The square root of 4 is 2, like I said above.
The square root of 2 is an irrational number.
When you add an irrational number, the sum is irrational too.
So, B is irrational.

Therefore, the answer is C.

Hope this helps!