Question

calculati media geometrica a nr-lor
5 radical 2+7 si 5 radical 2-7
2 radical 24 si 9 radical 6
0,09 si 100
4-2 radical 3 si 4+2 radical 3
radical 2 si radical 8
3 radical 5-6 si 3 radical 5+6

Answer 1

$1)mg = \sqrt{(5 \sqrt{2} + 7)(5 \sqrt{2} - 7)}$

$mg = \sqrt{ {(5 \sqrt{2}) }^{2} - {7}^{2} }$

$mg = \sqrt{50 - 49}$

$mg = \sqrt{1}$

$mg = 1$

$2)mg = \sqrt{(2 \sqrt{24} \times 9 \sqrt{6} }$

$mg = \sqrt{2 \times 2 \sqrt{6} \times 9 \sqrt{6} }$

$mg = \sqrt{4 \sqrt{6} \times 9 \sqrt{6} }$

$mg = \sqrt{36 \sqrt{36} }$

$mg = \sqrt{36 \times 6}$

$mg = \sqrt{36} \times \sqrt{6}$

$mg = 6 \sqrt{6}$

$3)mg = \sqrt{0.09 \times 100}$

$mg = \sqrt{9}$

$mg = 3$

$4)mg = \sqrt{(4 - 2 \sqrt{3})(4 + 2 \sqrt{3} ) }$

$mg = \sqrt{ {4}^{2} - {(2 \sqrt{3} )}^{2} }$

$mg = \sqrt{16 - 12}$

$mg = \sqrt{16} - \sqrt{12}$

$mg = 4 - 2 \sqrt{3}$

$mg = 2(2 - \sqrt{3} )$

$5)mg = \sqrt{ \sqrt{2} \times \sqrt{8} }$

$mg = \sqrt{ \sqrt{2 \times 8} }$

$mg = \sqrt{ \sqrt{16} }$

$mg = \sqrt{4}$

$mg = 2$

$6)mg = \sqrt{(3 \sqrt{5} -6 ) (3 \sqrt{5} + 6)}$

$mg = \sqrt{ {(3 \sqrt{5} )}^{2} - {6}^{2} }$

$mg = \sqrt{45 - 36}$

$mg = \sqrt{9}$

$mg = 3$