Rdacina patrata a unui numar rational patrat perfect

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7th grade

Mathematics

teotenis9_36883

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Question 1
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Q.
$Calculand$
$\sqrt{4}+\sqrt{25}-\sqrt{49}\$

$obtinem\ :$
answer choices
-20
$\sqrt{20}$
$-\sqrt{20}$
0
-20
alternatives
 <math><semantics><mrow><msqrt><mn>20</mn></msqrt></mrow><annotation encoding="application/x-tex">\sqrt{20}</annotation></semantics></math>20<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
 <math><semantics><mrow><mo>−</mo><msqrt><mn>20</mn></msqrt></mrow><annotation encoding="application/x-tex">-\sqrt{20}</annotation></semantics></math>−20<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"></path></svg> 
0
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Question 2
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Q.
$Calculand\ \sqrt{10^2-8^2}\ obtinem:$

answer choices
$2^2$
$2$
$6$
$8$
 <math><semantics><mrow><msup><mn>2</mn><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">2^2</annotation></semantics></math>22 
alternatives
 <math><semantics><mrow><mn>2</mn></mrow><annotation encoding="application/x-tex">2</annotation></semantics></math>2 
 <math><semantics><mrow><mn>6</mn></mrow><annotation encoding="application/x-tex">6</annotation></semantics></math>6 
 <math><semantics><mrow><mn>8</mn></mrow><annotation encoding="application/x-tex">8</annotation></semantics></math>8 
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Question 3
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Q.
$Calculand\ \ 8+\sqrt{8+\sqrt{8^2}}obtinem\ :$
answer choices
$24$
$16$
$12$
$10$
 <math><semantics><mrow><mn>24</mn></mrow><annotation encoding="application/x-tex">24</annotation></semantics></math>24 
alternatives
 <math><semantics><mrow><mn>16</mn></mrow><annotation encoding="application/x-tex">16</annotation></semantics></math>16 
 <math><semantics><mrow><mn>12</mn></mrow><annotation encoding="application/x-tex">12</annotation></semantics></math>12 
 <math><semantics><mrow><mn>10</mn></mrow><annotation encoding="application/x-tex">10</annotation></semantics></math>10 
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Question 4
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Q.
$Calculand:\sqrt{5^2\cdot3^4\cdot2^6}obtinem:$
answer choices
$360$
$340$
$320$
$280$
 <math><semantics><mrow><mn>360</mn></mrow><annotation encoding="application/x-tex">360</annotation></semantics></math>360 
alternatives
 <math><semantics><mrow><mn>340</mn></mrow><annotation encoding="application/x-tex">340</annotation></semantics></math>340 
 <math><semantics><mrow><mn>320</mn></mrow><annotation encoding="application/x-tex">320</annotation></semantics></math>320 
 <math><semantics><mrow><mn>280</mn></mrow><annotation encoding="application/x-tex">280</annotation></semantics></math>280 
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Question 5
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Q.
$Calculand\ \sqrt{5\ \frac{4}{9}}+\sqrt{0,\left(4\right)}obtinem:$
answer choices
$3$
$6$
$9$
$12$
 <math><semantics><mrow><mn>3</mn></mrow><annotation encoding="application/x-tex">3</annotation></semantics></math>3 
alternatives
 <math><semantics><mrow><mn>6</mn></mrow><annotation encoding="application/x-tex">6</annotation></semantics></math>6 
 <math><semantics><mrow><mn>9</mn></mrow><annotation encoding="application/x-tex">9</annotation></semantics></math>9 
 <math><semantics><mrow><mn>12</mn></mrow><annotation encoding="application/x-tex">12</annotation></semantics></math>12 
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Question 6
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Q.
Folosind algoritmul de extragere a
radacinii patrate pentru: $\sqrt{3481}$
obtinem:
answer choices
$29$
$39$
$49$
$59$
 <math><semantics><mrow><mn>29</mn></mrow><annotation encoding="application/x-tex">29</annotation></semantics></math>29 
alternatives
 <math><semantics><mrow><mn>39</mn></mrow><annotation encoding="application/x-tex">39</annotation></semantics></math>39 
 <math><semantics><mrow><mn>49</mn></mrow><annotation encoding="application/x-tex">49</annotation></semantics></math>49 
 <math><semantics><mrow><mn>59</mn></mrow><annotation encoding="application/x-tex">59</annotation></semantics></math>59 
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Question 7
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Q.
Folosind algoritmul de extragere a
radacinii patrate pentru: $\sqrt{5.3361}$
obtinem:
answer choices
$2,31$
$2,41$
$2,61$
$2,71$
 <math><semantics><mrow><mn>2</mn><mo separator="true">,</mo><mn>31</mn></mrow><annotation encoding="application/x-tex">2,31</annotation></semantics></math>2,31 
alternatives
 <math><semantics><mrow><mn>2</mn><mo separator="true">,</mo><mn>41</mn></mrow><annotation encoding="application/x-tex">2,41</annotation></semantics></math>2,41 
 <math><semantics><mrow><mn>2</mn><mo separator="true">,</mo><mn>61</mn></mrow><annotation encoding="application/x-tex">2,61</annotation></semantics></math>2,61 
 <math><semantics><mrow><mn>2</mn><mo separator="true">,</mo><mn>71</mn></mrow><annotation encoding="application/x-tex">2,71</annotation></semantics></math>2,71 
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Question 8
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Q.
$\ Calculand\sqrt{\left(1+2+3+...+50\right)-25\cdot2}$
$obtinem:$
answer choices
$15$
$25$
$35$
$45$
 <math><semantics><mrow><mn>15</mn></mrow><annotation encoding="application/x-tex">15</annotation></semantics></math>15 
alternatives
 <math><semantics><mrow><mn>25</mn></mrow><annotation encoding="application/x-tex">25</annotation></semantics></math>25 
 <math><semantics><mrow><mn>35</mn></mrow><annotation encoding="application/x-tex">35</annotation></semantics></math>35 
 <math><semantics><mrow><mn>45</mn></mrow><annotation encoding="application/x-tex">45</annotation></semantics></math>45 
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Question 9
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Q.
$x\ din\ proportia\$

$\frac{\sqrt{400-64\cdot\sqrt{16}}}{x}=\frac{2\cdot\sqrt{81+7\cdot3^2}}{2\ \frac{1}{4}\cdot\sqrt{1,\left(7\right)}}$

$este\ egal\ cu\ :$
answer choices
$\frac{3}{2}$
$\frac{2}{3}$
$\frac{5}{2}$
$\frac{2}{5}$
 <math><semantics><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{3}{2}</annotation></semantics></math>23 
alternatives
 <math><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{2}{3}</annotation></semantics></math>32 
 <math><semantics><mrow><mfrac><mn>5</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{2}</annotation></semantics></math>25 
 <math><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{2}{5}</annotation></semantics></math>52 
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