Respuesta :

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

Let's simplify all our terms first, starting with root 12 and root 75.

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

[tex]\sqrt{75} =5\sqrt{3}[/tex]

[tex]2\sqrt{3}- 5\sqrt{3}[/tex]

Now subtract, since both roots are equal, combine like terms.

[tex](2-5)\sqrt{3}[/tex]

[tex]-3\sqrt{3}[/tex]

Now we have to add what we have to root 147. Simplify root 147.

[tex]\sqrt{147} =7\sqrt{3}[/tex]

[tex]-3\sqrt{3} +7\sqrt{3}[/tex]

Like before, both our roots are equal, so combine like terms.

[tex](-3+7)\sqrt{3}[/tex]

[tex]4\sqrt{3}[/tex]

Pull terms out from under the radical, assuming positive real numbers.

Exact Form:
4√3

Decimal Form:
6.92820323…
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