Question

de la a la d. pas cu pas
dau coroana​

Answer 1

Răspuns:

a)

$= \sqrt{(2^{3})^{2} *2} =\sqrt{(2^{3})^{2}}*\sqrt{2} =2^{3} \sqrt{2} =8\sqrt{2}$

b)

$= \sqrt{(3^{5})^{2} *3} =\sqrt{(3^{5})^{2}}*\sqrt{3} =3^{5} \sqrt{3} =243\sqrt{3}$

c)

$= \sqrt{(2^{2})^{2} *2*(3^{3})^{2} *3} =\sqrt{(2^{2})^{2}}*\sqrt{2*3} *\sqrt{(3^{3})^{2}}=$

$=2^{2}*3^{3} \sqrt{6} =4*27\sqrt{6}=108\sqrt{6}$

d)

$= \sqrt{3^{2} *3*(5^{2})^{2} *5*(7^{3})^{2} *7} =\sqrt{3^{2}} *\sqrt{(5^{2})^{2}}*\sqrt{(7^{3})^{2}}*\sqrt{3*5*7}=$

$=3 *5^{2}*7^{3}*\sqrt{105}=3 *25*343*\sqrt{105}=25725\sqrt{105}$

e) si f) nu apar complete pe fotografie

g)

$=\sqrt{2^{2n} *2} =\sqrt{(2^{n})^{2} *2} =\sqrt{(2^{n})^{2} }*\sqrt{2} =2^{n}\sqrt{2}$

h)

$=\sqrt{3^{2n+2} *3} =\sqrt{(3^{n+1})^{2} *3} =\sqrt{(3^{n+1})^{2} }*\sqrt{3} =3^{n+1}\sqrt{3}$

Explicație pas cu pas: