Answer:
Q1: [tex]\sqrt{361} =19[/tex]
Q2: ±[tex]\sqrt{1.96} =[/tex]± [tex]1.4[/tex]
Q3: [tex]-\sqrt{\frac{9}{16} }[/tex]= [tex]-\frac{3}{4}[/tex]
Q4: It cannot be simplified, since it is impossible to square root a negative number. A number cannot be multiplied by itself to get a negative answer.
Q5: [tex]m^{2} =0.04[/tex]
±[tex]\sqrt{0.04}[/tex] = ±[tex]0.2[/tex]
[tex]m=[/tex] ±[tex]0.2[/tex]
Q6: [tex]\sqrt[3]{343} = 7[/tex]
Q7: [tex]\sqrt[3]{-512} =-8[/tex]
Q8: [tex]s^{3} =91.125[/tex]
[tex]s=\sqrt[3]{91.125}[/tex]
[tex]s=4.5[/tex]
Q9: [tex]\sqrt{196} =14[/tex]
Q10: [tex]p^{3}=-0.027[/tex]
[tex]p=\sqrt[3]{-0.027}[/tex]
[tex]p=-0.3[/tex]
Q11:
Length of one square: x
Area: [tex]6x*x=6x^{2}[/tex]
[tex]6x^{2} =96[/tex]
[tex]x^{2} =16[/tex]
[tex]x=4[/tex]
Length of the path: [tex]6*4=24[/tex]
Q12:
Length of one photo: y
Area: [tex]7y*y=7y^{2}[/tex]
[tex]7y^{2} =567[/tex]
[tex]y^{2} =81[/tex]
[tex]y=9[/tex]
Length of collage:
[tex]9*7=63[/tex]
Q13:
[tex]\sqrt[3]{8}=2[/tex] but [tex]\sqrt{8}[/tex] = [tex]2.8284271...[/tex] (goes on forever and cannot be expressed as a fraction)
Q14:
Let's say you have 70 tables and you want to make a square formation.
[tex]\sqrt{70}=8.3666...[/tex]
It's clearly impossible to have 8.3666... tables, so we round down to 8.
Even though you didn't use all 70 tables, you still made a square with the most numbers of table possible.
