Given the two expressions shown below:

square root of 64 plus square root of 5
square root of 64 plus square root of 4

Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.

Respuesta :

MarkV
Hi there!
The answer is A is irrational, but B is rational.

An irrational number is a number that cannot be written as a fraction.

Expression A.
[tex] \sqrt{64} + \sqrt{5} = 64 + 2.23606...[/tex]
This cannot be written as a fraction and therefore the expression is irrational.

Expression B.
[tex] \sqrt{64} + \sqrt{4} = 8 + 2 = 10 = \frac{10}{1} [/tex]
This can be written as a fraction and therefore the expression is rational

Your answer:
A is irrational, but B is rational.

~ Hope this helps you!
MarkV