Question

OMG HELP PLEASE!!!!!!!!!!

Answer 1

Explanation:

Here,

`= ( √(12) )/( √(3) + 3)`

is given.

Now, rationalizing it,

`= ( √(12) )/( √(3) + 3) * ( √(3) - 3 )/( √(3) - 3)`

now, simplifying it,

`= \frac{ √(12 ) * √(3 ) - 3 }{( { √(3) )}^(2) - 9}`

or, simplifying it we get,

`= (3)/( - 6)`

= 1/ -2

Hope it helps...

Answer 2

Explanation:

Hello, please consider the following.

We will multiply the numerator and denominator by

`3-√(3)` to get rid of the root in the denominator.

Let's do it!

`\begin{aligned}(√(12))/(√(3)+3)&=(√(2^2*3)*(3-√(3)))/((3+√(3))*(3-√(3)))\\\\&=(2√(3)*(3-√(3)))/(3^2-√(3)^2)\\\\&=(2√(3)*(3-√(3)))/(9-3)\\\\&=(2√(3)*(3-√(3)))/(6)\\\\&=(6√(3))/(6)-(2*3)/(6)\\\\&=√(3)-1\\\\\large &\boxed{=-1+√(3)}\\\end{aligned}`

Thank you