Question

Mă puteți ajuta si pe mine cu acest exercițiu?Mulțumesc anticipat. ​

Answer 1

Răspuns:

$\sqrt{9} = \sqrt{ {3}^{2} } = 3$

$\sqrt{36} = \sqrt{ {2}^{2} \times {3}^{2} } = \sqrt{ {2}^{2} } \times \sqrt{ {3}^{2} } = 2 \times 3 = 6$

$\sqrt{64} = \sqrt{ {2}^{6} } = {2}^{3} = 8$

$\sqrt{81} = \sqrt{ {3}^{4} } = {3}^{2} = 9$

$\sqrt{100} = \sqrt{ {10}^{2} } = 10$

$\sqrt{144} = \sqrt{ {2}^{4} \times {3}^{2} } = \sqrt{ {2}^{4} } \times \sqrt{ {3}^{2} } = {2}^{2} \times 3 = 12$

$\sqrt{256} = \sqrt{ {2}^{8} } = {2}^{4} = 16$

$\sqrt{324} = \sqrt{ {2}^{2} \times {3}^{4} } = 2 \times {3}^{2} = 18$

$\sqrt{1024} = \sqrt{ {2}^{10} } = {2}^{5} = 32$

$\sqrt{900} = \sqrt{ {2}^{2} \times {3}^{2} \times {5}^{2} } = 2 \times 3 \times 5 = 30$

$\sqrt{400} = \sqrt{ {2}^{4} \times {5}^{2} } = {2}^{2} \times 5 = 20$

$\sqrt{625} = \sqrt{ {5}^{4} } = {5}^{2} = 25$