Respuesta :
Given that [tex]a \times b[/tex] means square root a+4b Then the value of [tex]1 \times 2 = 3[/tex]
Solution:
Given that, [tex]a \times b[/tex] means the square root of a + 4b , where the positive root is taken ,
We have to determine the values of [tex]1 \times 2[/tex]
Now, according to given information,
[tex]\mathrm{a} \times \mathrm{b} \rightarrow \text { square root of } \mathrm{a}+4 \mathrm{b}[/tex]
[tex]\begin{array}{l}{\text { Then, a } \times \mathrm{b} \rightarrow \sqrt{\mathrm{a}+4 \mathrm{b}}} \\\\ {\text { Now, for } 1 \times 2, \text { we get } \mathrm{a}=1 \text { and } \mathrm{b}=2}\end{array}[/tex]
[tex]\begin{array}{l}{\text { So, } 1 \times 2=\sqrt{1+4(2)}} \\\\ {\rightarrow 1 \times 2=\sqrt{1+8}} \\\\ {\rightarrow 1 \times 2=\sqrt{9}} \\\\ {\rightarrow 1 \times 2=\sqrt{9}} \\\\ {\rightarrow 1 \times 2=\sqrt{(\pm 3)^{2}}} \\\\ {\rightarrow 1 \times 2=\pm 3} \\\\ {\text { As we have to take only positive root. }} \\\\ {\rightarrow 1 \times 2=3}\end{array}[/tex]
Hence, the value of [tex]1 \times 2 = 3[/tex]
