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

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

Answer 2

Answer:

Option A, C and D.

Step-by-step 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.

$2\sqrt{9}\cdot \sqrt{4}=2(3)(2)\Rightarrow 12$       (Rational number)

$\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot (4)\Rightarrow 4\sqrt{3}$       (Irrational number)

$\sqrt{5}\cdot \sqrt{5}=\sqrt{5\cdot 5}\Rightarrow \sqrt{25}=5$       (Rational number)

$7\sqrt{3}\cdot \sqrt{3}=7\sqrt{3\cdot 3}\Rightarrow 7(3)=21$       (Rational number)

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