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

`4√(3)`

Explanation:

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

`√(12) = 2√(3)`

`√(75) =5√(3)`

`2√(3)- 5√(3)`

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

`(2-5)√(3)`

`-3√(3)`

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

`√(147) =7√(3)`

`-3√(3) +7√(3)`

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

`(-3+7)√(3)`

`4√(3)`