MATH SOLVE

8 months ago

Q:
# Which equations support the fact that rational numbers are closed under addition? Select each correct answer. 3√5+√5=4√5√10+(-√10)=01/2 +0.5=13√16 + 3√16=6√16

Accepted Solution

A:

Answer:1/2 +0.5=1 and 3√16 + 3√16=6√16Step-by-step explanation:Rational numbers are numbers that can be written as fractions. These include fractions, decimals, integers and whole numbers, or anything that can be simplified to one of these.1/2 + 0.5 = 1 shows us a fraction added to a decimal that equals a whole number. All three of these are rational numbers, so this shows that rational numbers are closed under addition.
3√16 + 3√16=6√16 contains a radical, which is only a rational number if it simplifies to one. √16 = 4; this means we can rewrite this as3(4) + 3(4) = 6(4)This gives us12 + 12 = 24This is a true statement, and shows that rational numbers are closed under addition.