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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

Verified Answer :

\(\sqrt{7x^3}:\sqrt{x}=\sqrt\frac{7x^3}{x}=\sqrt{7x^2}=x\sqrt7\\\\\sqrt{7x^3}\to x^3\geq0\to x\geq0\ \wedge\ \sqrt{x}\to x > 0\\\\Answer:D.\ x\sqrt7\ when\ x > 0\)

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