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max2010maxim [7]
3 years ago
13

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

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello, please consider the following.

We will multiply the numerator and denominator by

3-\sqrt{3} to get rid of the root in the denominator.

Let's do it!

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

Thank you

Aleksandr [31]3 years ago
7 0

Step-by-step explanation:

Here,

= \frac{ \sqrt{12} }{ \sqrt{3}  + 3}

is given.

Now, rationalizing it,

=  \frac{ \sqrt{12} }{ \sqrt{3}  + 3}   \times  \frac{ \sqrt{3} - 3 }{ \sqrt{3}  - 3}

now, simplifying it,

=  \frac{ \sqrt{12 }  \times  \sqrt{3 } - 3 }{( { \sqrt{3} )}^{2}   - 9}

or, simplifying it we get,

= \frac{3}{ - 6}

= 1/ -2

<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>

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