Question

exercitiul 8 va rog rapid
dau coroana si inima

Answer 1

8. a) $( 4-\sqrt{5})^{2}$
$4^{2} -2*4* \sqrt{5} + \sqrt{5} ^{2}$
$16-8 \sqrt{5} +5$
$21-8 \sqrt{5}$

b)$( \sqrt{3} -3) ^{2}$
$\sqrt{3} ^{2} -2* \sqrt{3} *3+ 3^{2}$
$3-6 \sqrt{3} +9$
$12-6 \sqrt{3}$

c)$( \sqrt{10} -1)^{2}$
$\sqrt{10} ^{2} -2*1* \sqrt{10} +1^{2}$
$10-2 \sqrt{10} +1$
$11-2 \sqrt{10}$

d)$(6- \sqrt{6})^{2}$
$6^{2} -2*6* \sqrt{6} + \sqrt{6} ^{2}$
$36-12 \sqrt{6}+6$
$42-12 \sqrt{6}$

e) $( \sqrt{8}-4)^{2}$
$\sqrt{8} =2 \sqrt{2}$
$2 \sqrt{2}^{2} -2*4*2 \sqrt{2} +4^{2}$
$8-16 \sqrt{2} +16$
$24-16 \sqrt{2}$

f)$( \sqrt{7} - \sqrt{6} )^{2}$
$\sqrt{7} ^{2} -2* \sqrt{7} * \sqrt{6} + \sqrt{6} ^{2}$
$7-2 \sqrt{42} +6$
$13-2 \sqrt{42}$

g)$( \sqrt{12} - \sqrt{2} )^{2}$
$\sqrt{12} =2 \sqrt{3}$
$2 \sqrt{3} ^{2} -2* \sqrt{2} *2 \sqrt{3} + \sqrt{2} ^{2}$
$12-4 \sqrt{6} +2$
$14-4 \sqrt{6}$

h)$( \sqrt{20} - \sqrt{2} )^{2}$
$\sqrt{20} =2 \sqrt{5}$$2 \sqrt{5}^{2} -2*2 \sqrt{5}* \sqrt{2} + \sqrt{2} ^{2}$
$20-4 \sqrt{10} +2$
$22-4 \sqrt{10}$


i)$( \sqrt{14} - \sqrt{7} )^{2}$
$\sqrt{14} ^{2} -2* \sqrt{14} * \sqrt{7} + \sqrt{7} ^{2}$
$14-2 \sqrt{98} +7$
$14-14 \sqrt{2} +7$
$21-14 \sqrt{2}$

j)$( \sqrt{18} -1)^{2}$
$\sqrt{18} =3 \sqrt{2}$
$3 \sqrt{2} ^{2} -2*1*3 \sqrt{2} +1^{2}$
$18-6 \sqrt{2} +1$
$19-6 \sqrt{2}$

k)$( \sqrt{24} - \sqrt{6} )^{2}$
$\sqrt{24} =2 \sqrt{6}$
$(2 \sqrt{6} - \sqrt{6} ) ^{2}$
$\sqrt{6} ^{2}$
6

l)$( \sqrt{32} - \sqrt{8} )^{2}$
$\sqrt{32} =4 \sqrt{2}$
$(4 \sqrt{2} -2 \sqrt{2} )^{2}$
$2 \sqrt{2} ^{2}$
8