Question

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Answer 1

Exercitiul:5

$a)4 \sqrt { 3 } - 7 \sqrt { 3 } - 2 \sqrt { 3 } + 6 \sqrt { 3 }$

$-3\sqrt{3}-2\sqrt{3}+6\sqrt{3}$

$-5\sqrt{3}+6\sqrt{3}$

$raspuns = > \sqrt{3}$

$b)0,4 \sqrt { 6 } + 2 \sqrt { 6 } - 0,4 \sqrt { 6 } + \sqrt { 6 }$

$2.4\sqrt{6}-0.4\sqrt{6}+\sqrt{6}$

$2\sqrt{6}+\sqrt{6}$

$raspuns = > 3\sqrt{6}$

$c)\frac { \sqrt { 7 } } { 4 } + \frac { \sqrt { 7 } } { 3 } - \frac { \sqrt { 7 } } { 2 } + \frac { 5 \sqrt { 7 } } { 12 }$

$\frac{7}{12}\sqrt{7}-\frac{\sqrt{7}}{2}+\frac{5\sqrt{7}}{12}$

$\frac{1}{12}\sqrt{7}+\frac{5\sqrt{7}}{12}$

$raspuns = > \frac{1}{2}\sqrt{7}$

$d)0,8 \sqrt { 5 } - \frac { 4 } { 5 } \sqrt { 5 } - \frac { 1 } { 9 } \sqrt { 5 } + 1 , ( 1 ) \sqrt { 5 }$

$-\frac{1}{9}\sqrt{5}+1\times 1\sqrt{5}$

$-\frac{1}{9}\sqrt{5}+\sqrt{5}$

$raspuns = > \frac{8}{9}\sqrt{5}$

Exercitiul:6

$a)\sqrt { 3 } \times \sqrt { 27 }$

$\sqrt{3}\sqrt{3}\sqrt{9}$

$3\sqrt{9}$

$3\times 3$

$raspuns = > 9$

$b)( - \sqrt { 2 } ) \times ( \sqrt { 32 } )$

$\left(-\sqrt{2}\right)\times 4\sqrt{2}$

$-4\sqrt{2}\sqrt{2}$

$-4\times 2$

$raspuns = > -8$

$c)\sqrt { 18 } \times \sqrt { 2 }$

$\sqrt{2}\sqrt{9}\sqrt{2}$

$2\sqrt{9}$

$2\times 3$

$raspuns = > 6$

$d)\sqrt { 5 } \times | \sqrt { 45 } |$

$raspuns = > 15$

Exercitiul:7

$a)\sqrt { 21 } : \sqrt { 6 }$

$\frac{\sqrt{21}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$

$\frac{\sqrt{21}\sqrt{6}}{6}$

$\frac{\sqrt{126}}{6}$

$\frac{3\sqrt{14}}{6}$

$raspuns = > \frac{1}{2}\sqrt{14}$

$b)( - \sqrt { 343 } ) : \sqrt { 7 }$

$\frac{-7\sqrt{7}}{\sqrt{7}}$

$\frac{\left(-7\sqrt{7}\right)\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$

$\frac{\left(-7\sqrt{7}\right)\sqrt{7}}{7}$

$\frac{-7\sqrt{7}\sqrt{7}}{7}$

$\frac{-7\times 7}{7}$

$\frac{-49}{7}$

$raspuns = > -7$

$c)\sqrt { 180 } : \sqrt { 5 }$

$\sqrt{36}$

$raspuns = > 6$

$d)\sqrt { 363 } : | - \sqrt { 3 } | = 11$

Sper ca ti-am fost de folos. Succes!!