[tex]c^{2} = b[/tex] must be true if a number c is a square root of a nonnegative number b.
What is square root?
A factor of a number that, when multiplied by itself, gives the original number is called square root.
According to the given question.
A number 'c' is a square root of a nonnegative number 'b'.
The mathematical expression of the above statement is given by
[tex]c = \sqrt{b}[/tex]
Squaring both the sides of the above equation or mathematical expression.
[tex]\implies c^{2} =(\sqrt{b}) ^{2}[/tex]
[tex]\implies c = b(^{\frac{1}{2} }) ^{2}[/tex]
[tex]\implies c^{2} = b[/tex]
Hence, option A is correct.
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