Respuesta :
Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is
[tex]2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12[/tex]
12 is a rational number.
Second expression is
[tex]\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}[/tex]
[tex]4\sqrt{3}[/tex] is an irrational number.
Third expression is
[tex]7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21[/tex]
21 is a rational number.
Fourth expression is
[tex]\sqrt{5}\cdot \sqrt{5}=5[/tex]
5 is a rational number.
Therefore, the correct options are 1, 3 and 4.
Answer:
2√9 × √4
√5 × √5
7√3 ×√3
Step-by-step explanation:
