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4-115.

1. $\sqrt { 12 } + \sqrt { \frac { 3 } { 4 } } - \sqrt { 27 }$

Find perfect squares in each radical.

$\sqrt{(4)(3)}+\frac{\sqrt3}{2}-\sqrt{(9)(3)}$

Take the roots placing them outside of the radical.

$2\sqrt{3}+\frac{\sqrt3}{2}-3\sqrt3$

$\text{Combine the }\sqrt{3}\text{'s}$

$-\frac{\sqrt3}{2}$

1. $( 2 \sqrt { 2 } - \sqrt { 3 } ) ( \sqrt { 2 } + 2 \sqrt { 3 } )$

Multiply the factors. Remember the middle terms.
1. $( \sqrt { 2 } - \sqrt { 3 } ) ^ { 2 }$
$5-2\sqrt6$