Question

Im having trouble with this problem. Please help !! thank you

Answer 1

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

Exact Form:
4√3

Decimal Form:
6.92820323…

Answer 2

Answer:

$4\sqrt{3}$

Step-by-step explanation:

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

$\sqrt{12} = 2\sqrt{3}$

$\sqrt{75} =5\sqrt{3}$

$2\sqrt{3}- 5\sqrt{3}$

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

$(2-5)\sqrt{3}$

$-3\sqrt{3}$

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

$\sqrt{147} =7\sqrt{3}$

$-3\sqrt{3} +7\sqrt{3}$

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

$(-3+7)\sqrt{3}$

$4\sqrt{3}$