Answer :

meerkat18
The product asked above may be given expressed by the expression,
                         (2) x (sqrt 3) times (sqrt 12)
Two is also equivalent to sqrt of 4. The operation may be expressed as,
                                   (sqrt 4) x (sqrt 3) x sqrt (12)
The product is sqrt (144). This gives an answer of 12 and it is rational.

Answer:

Yes, the simplified form of the given radical expression is rational.

Step-by-step explanation:

We are asked to determine whether the simplified form of [tex]2\sqrt{3} \cdot \sqrt{12}[/tex] is rational or not.

To solve our given problem we will use exponent property for radicals [tex]a\sqrt{m}\cdot\sqrt{n}=a\sqrt{m\cdot n}[/tex].

[tex]2\sqrt{3} \cdot \sqrt{12}=2\sqrt{3\cdot 12}[/tex]

[tex]2\sqrt{3} \cdot \sqrt{12}=2\sqrt{36}[/tex]

[tex]2\sqrt{3} \cdot \sqrt{12}=2*6[/tex]

[tex]2\sqrt{3} \cdot \sqrt{12}=12[/tex]

Since our given radical expression simplifies to a rational, therefore, our answer is yes.

Other Questions