Question

For what values of x is the expression below defined?

√2x^2 divide by √5x

a/x=0
b.x<0
c.x>0
d.x<1

Answer 1

`√(2x^2):√(5x)\\\\2x^2\geq0\ \wedge\ x > 0\\\\x^2\geq0\ \wedge\ x > 0\\\\x\in\mathbb{R}\ \wedge\ x > 0\Rightarrow x > 0\ (x\in\mathbb{R^+})\\\\Answer:c.\ x > 0`