Simplify 4/square root 12

Answers

Answer 1

4√22⋅3422⋅3

Pull terms out from under the radical.

4(2√3)4(23)

Multiply 22 by 44.

8√383

The result can be shown in multiple forms.

Exact Form:

8√383

Decimal Form:

13.85640646…13.85640646…

4√124122

Answer 2

The 4 / square root (12) can be simplified as 2 sqrt(3).

In mathematics, a square root of a number is a number time itself equals the original number. For example, the square root of 16 is 4 because

4 x 4 = 16.

solution,

First, we can simplify the numerator,

=2 ×2

= 4

Then, we can factor the square root of 12.

The prime factorization of 12 is

= 2 ×2 ×3,

so, the square root of 12 is

=2× sqrt(3).

Finally, we can multiply the numerator and denominator by sqrt(3),

which gives us

= 2 ×2 ×sqrt(3) / 2 ×sqrt(3)

= 2 sqrt(3).

Therefore, the simplified form of 4 / sqrt(12) is 2 sqrt(3).

Learn more about square roots, here:

https://brainly.com/question/29179636

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