Question

Which expressions simplify to a rational answer? Select each correct answer. A. 2√9⋅√4 B. √3⋅√16 C. √5⋅√5 D. 7√3⋅√3

Answer 1

Option A, C and D.

Explanation:

Rational numbers : If a number expressed in the form of p/q, where p and q are two integers, q≠0, then the number is called rational number.

Irrational numbers : If a number can not be expressed in the form of p/q, where p and q are two integers, q≠0, then the number is called irrational number.

Simplify each expression.

`2√(9)\cdot √(4)=2(3)(2)\Rightarrow 12` (Rational number)

`√(3)\cdot √(16)=√(3)\cdot (4)\Rightarrow 4√(3)` (Irrational number)

`√(5)\cdot √(5)=√(5\cdot 5)\Rightarrow √(25)=5` (Rational number)

`7√(3)\cdot √(3)=7√(3\cdot 3)\Rightarrow 7(3)=21` (Rational number)

Therefore, the correct options are A, C and D.

Answer 2

rational numbers are numbers that are whole numbers. For example the square root of 9 becomes three so it is rational. If it would have been like the square root of 3 then thats a decimal so the number is not rational. the answer to your question is A, C, and D