Answer:
c = 11
Step-by-step explanation:
We are given the equation of:
[tex]\displaystyle{\sqrt{c} \cdot \sqrt{c} = 11}[/tex]
The property of square root where same square roots multiply each other:
[tex]\displaystyle{\sqrt{a} \cdot \sqrt{a} = \left(\sqrt{a}\right)^2 = a}[/tex]
Hence:
[tex]\displaystyle{\sqrt{c} \cdot \sqrt{c} = 11}\\\\\displaystyle{\left(\sqrt{c}\right)^2 = 11}\\\\\displaystyle{c= 11}[/tex]
Therefore, the value of c is 11.
