Answer:
the two expressions that will result in a rational number are:
B. 64x9
E. 64+√5
Explanation:
Expressions that will result in a rational number are:
Expressions that involve only rational numbers, such as integers and fractions.
Expressions that involve square roots of rational numbers, such as √9 = 3 and √16 = 4.
Expressions that involve products and quotients of rational numbers and square roots of rational numbers.
Therefore, the two expressions that will result in a rational number are:
B. 64x9
E. 64+√5
The other expressions involve square roots of irrational numbers, such as √5, which will result in irrational numbers.
Here is a breakdown of each expression:
A. 64+√9/4
This expression involves the square root of an irrational number, √9/4 = 3/2 * √2, so it will result in an irrational number.
B. 64x9
This expression involves only rational numbers, so it will result in a rational number.
C. 6x√5
This expression involves the square root of an irrational number, √5, so it will result in an irrational number.
D. 64-√5
This expression involves the square root of an irrational number, √5, so it will result in an irrational number.
E. 64+√5
This expression involves a rational number and the square root of a rational number, so it will result in a rational number.