Question

Which choice represents the simplified form of the expression below and the values of x for which it is defined?

√7x^3 divide by √x

A.x√2x when x>0
B.x√7 when x<0
C.x√7 when x>1
D.x√7 when x>0

Answer 1

`√(7x^3):√(x)=\sqrt(7x^3)/(x)=√(7x^2)=x\sqrt7\\\\√(7x^3)\to x^3\geq0\to x\geq0\ \wedge\ √(x)\to x > 0\\\\Answer:D.\ x\sqrt7\ when\ x > 0`