Answer :

WeatheringWithYou

Answer: Yes, it is [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

To simplify square roots, you can factor the number inside the square root into its lowest common denominators.

[tex]\sqrt{12}=\sqrt{4*3} =\sqrt{2*2*3}[/tex]

Any value that appears twice can be "taken out" of the square root and moved to the left of it:

[tex]2\sqrt{3}[/tex],

What you are doing is essentially taking the square root of 4 and the square root of 3. Because the square root of 4 can be simplified, and the square root of 3 cannot, this is the most simplified version of the expression we can reach.

sahkfam

Answer:

Yes; [tex]2\sqrt{3} .[/tex] is correct.

Step-by-step explanation:

Remember that to find the simplified radical you must first break down the number given into its prime factors.

prime factorization of  12:  [tex]2^2\cdot \:3[/tex].

So we have [tex]\sqrt{2^2\cdot \:3}[/tex]. That can be written as [tex]\sqrt{2^2}\sqrt{3}[/tex].

[tex]\sqrt{2^{2}} = 2[/tex].

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

Thusly, you are correct, it is [tex]2\sqrt{3} .[/tex]

Hope this helps! (:

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