Answer:
The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
Step-by-step explanation:
Given the function:
[tex]y=p(x)=\sqrt{x}[/tex]
That means, the value that we give as input i.e. the value of x is square rooted and given as output.
Input is x and output is [tex]\sqrt x[/tex].
Now, calculating the outputs for different values of x:
1. x = 0, the square root of 0 is always 0.
so, y = p (0) = 0
2. x = 1.44
[tex]y = p(1.44)=\sqrt{1.44} \\\Rightarrow \sqrt{\dfrac{144} {100}}\\\Rightarrow \pm \dfrac{12} {10} = \pm 1.2[/tex]
Similarly other square roots can be calculated:
3. x = 2.25
[tex]y = p(2.25)=\sqrt{2.25} \\\Rightarrow \sqrt{\dfrac{225} {100}}\\\Rightarrow \pm \dfrac{15} {10} = \pm 1.5[/tex]
4. x = 3.24
[tex]y = p(3.24)=\sqrt{3.24} \\\Rightarrow \sqrt{\dfrac{324} {100}}\\\Rightarrow \pm \dfrac{18} {10} = \pm 1.8[/tex]
5. x = 4.41
[tex]y = p(4.41)=\sqrt{4.41} \\\Rightarrow \sqrt{\dfrac{441} {100}}\\\Rightarrow \pm \dfrac{21} {10} = \pm 2.1[/tex]
6. x = 5.29
[tex]y = p(5.29)=\sqrt{5.29} \\\Rightarrow \sqrt{\dfrac{529} {100}}\\\Rightarrow \pm \dfrac{23} {10} = \pm 2.3[/tex]
Hence, The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
