If a^{\frac{1}{2} }= x , where a > 0 and x > 0 , which of the following equations gives a in terms of x ?

×
a = \dfrac{1}{\sqrt{x} }

✓
a=\dfrac{1}{x^2}

×
a=\sqrt{x}

×
a=x^2
If a^{\frac{1}{2} }= x , where a > 0 and x > 0 , which of the following equations gives a in terms of x ?
a = \dfrac{1}{\sqrt{x} }
a=\dfrac{1}{x^2}
a=\sqrt{x}
a=x^2
\because a^{\frac{1}{2} }= x
Squaring both sides of the equation
a^{1}=x^2 or \dfrac{1}{a}=x^2
Taking reciprocal of both sides of the equation gives
a=\dfrac{1}{x^2}
B is correct choice