All the provided equations (A, B, C, D) support Mr. Harrison's claim that the sum of two rational numbers is a rational number.
To evaluate Mr. Harrison's claim that the sum of two rational numbers is a rational number, let's analyze each equation:
A. -8 + 6 = -2:
This equation involves the sum of two integers, which are rational numbers. The result is also an integer, and integers are a subset of rational numbers. Therefore, this equation supports Mr. Harrison's claim.
B. 3 + sqrt(16) = 3sqrt(16):
Here, 3 is a rational number, and sqrt(16) evaluates to 4, another rational number. Their sum is 3 + 4 = 7, which is a rational number. So, this equation also supports Mr. Harrison's claim.
C. sqrt(25/9) + 3/4 = 29/12:
In this equation, sqrt(25/9) is equivalent to 5/3, which is rational. Adding 5/3 + 3/4 results in 29/12, which is a rational number. Therefore, this equation supports Mr. Harrison's claim.
D. sqrt(5)/2 * sqrt(5)/3 = 5/6:
This equation involves the product of two square roots. However, when you multiply sqrt(5)/2 and sqrt(5)/3, the result is 5/6, a rational number. Hence, this equation also supports Mr. Harrison's claim.
The question probable may be;
Harrison told his math class that the sum of two rational numbers is a rational number. elect ALL of the equations that support Mr. Harrison's claim. A -8+6=-2 B 3+sqrt(16)=3sqrt(16) C sqrt(frac 25)9+ 3/4 = 29/12 D sqrt(5)/2 · sqrt(5)/3 = 5/6