Question

Va rog mult sa ma ajutati cu acest ex. Dau coroana pentru rezolvare detaliata. Multumesc!​

Answer 1

Răspuns:

$\sqrt{\frac{16}{100} } =\frac{\sqrt{16} }{\sqrt{100} } =\frac{4}{10} =\frac{2}{5} \\\\\sqrt{\frac{144}{100} } =\frac{\sqrt{144} }{\sqrt{100} } =\frac{12}{10} =\frac{6}{5} \\\\\sqrt{\frac{49}{100}} =\frac{\sqrt{49} }{\sqrt{100} } =\frac{7}{10} \\\\\sqrt{\frac{9}{100} } =\frac{\sqrt{9} }{\sqrt{100} } =\frac{3}{10} \\\\\sqrt{\frac{625}{10000} } =\frac{\sqrt{625} }{\sqrt{10000} } =\frac{25}{100}=\frac{1}{4}$

Answer 2

Răspuns:

$\bf a)~ \sqrt{2,25} =\sqrt{\dfrac{225}{100}} = \sqrt{\bigg(\dfrac{15}{10}\bigg)^{2}}=\dfrac{15^{(5} ~}{10}=\dfrac{3}{2}=\blue{1,5}$

$\bf b)~ \sqrt{0,16} =\sqrt{\dfrac{16}{100}} = \sqrt{\bigg(\dfrac{4}{10}\bigg)^{2}}=\dfrac{4^{(2} ~}{10}=\dfrac{2}{5}=\green {0,4}$

$\bf c)~ \sqrt{1,44} =\sqrt{\dfrac{144}{100}} = \sqrt{\bigg(\dfrac{12}{10}\bigg)^{2}}=\dfrac{12^{(2} ~}{10}=\dfrac{6}{5}=\purple{1,2}$

$\bf d)~ \sqrt{0,49} =\sqrt{\dfrac{49}{100}} = \sqrt{\bigg(\dfrac{7}{10}\bigg)^{2}}=\dfrac{7}{10}=\red{0,7}$

$\bf e)~ \sqrt{0,09} =\sqrt{\dfrac{9}{100}} = \sqrt{\bigg(\dfrac{3}{10}\bigg)^{2}}=\dfrac{3}{10}=\green {0,3}$

$\bf f)~ \sqrt{0,0625} =\sqrt{\dfrac{625}{10000}} = \sqrt{\bigg(\dfrac{25}{100}\bigg)^{2}}=\dfrac{~25^{(25}~}{100}=\dfrac{1}{4} =\purple{0,25}$

P.S.: Dacă ești pe telefon te rog să glisezi spre stânga pentru a vedea întreaga rezolvare.

Baftă multă !

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