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Svetradugi [14.3K]
3 years ago
15

What is the square root of 12 simplified? Is it 2 times the square root of 3?

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

Yes; 2\sqrt{3} . 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.

<em>prime factorization</em><em> of  12:  </em>2^2\cdot \:3.

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

\sqrt{2^{2}} = 2.

2 \: \cdot \: \sqrt{3} = 2\sqrt{3}.

Thusly, you are correct, it is 2\sqrt{3} .

Hope this helps! (:

blagie [28]3 years ago
4 0

Answer: Yes, it is 2\sqrt{3}

Step-by-step explanation:

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

\sqrt{12}=\sqrt{4*3}  =\sqrt{2*2*3}

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

2\sqrt{3},

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.

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