Răspuns:
Explicație pas cu pas:
[tex]\bf a)~ \sqrt{\dfrac{5^{4} }{7^{2} } } = \sqrt{\bigg(\dfrac{5^{2} }{7}\bigg)^{2}}=\blue{\dfrac{5^{2} }{7}}[/tex]
[tex]\bf b)~ \sqrt{\dfrac{1}{3^{8} } } = \sqrt{\bigg(\dfrac{1}{3^{4}}\bigg)^{2}}=\green{\dfrac{1}{3^{4} }}[/tex]
[tex]\bf c)~ \sqrt{\dfrac{10^{6}}{2^{10}}} = \sqrt{\bigg(\dfrac{10^{3}}{2^{5}}\bigg)^{2}}=\purple{\dfrac{10^{3}}{2^{5}}}[/tex]
[tex]\bf d)~ \sqrt{\dfrac{7^{2} }{3^{6} } } = \sqrt{\bigg(\dfrac{7^{1} }{3^{2}}\bigg)^{2}}=\red{\dfrac{7}{3^{2}}}[/tex]
[tex]\bf e)~ \sqrt{\dfrac{8^{4} }{5^{6} } } = \sqrt{\bigg(\dfrac{8^{2} }{5^{3}}\bigg)^{2}}=\blue{\dfrac{8^{2} }{5^{3}}}[/tex]
[tex]\bf f)~ \sqrt{\dfrac{2^{12} }{3^{10} } } = \sqrt{\bigg(\dfrac{2^{6} }{3^{5}}\bigg)^{2}}=\purple{\dfrac{2^{6} }{3^{5}}}[/tex]
