Tell whether the statement is true or false. If it is false, give the correct answer. Explain your answer. Assume that $\mathrm{x}$ represents a positive real number. $\sqrt{\mathrm{x}} \cdot \sqrt{\mathrm{x}}=\mathrm{x}$

Question

Quizplus · Accepted Answer

$\sqrt{\mathrm{x}} \sqrt{\mathrm{x}}=\sqrt{\mathrm{x}^{2}}$. By the definition of principal square root, $\sqrt{\mathrm{x}^{2}}=|\mathrm{x}|$, and $|\mathrm{x}|=\mathrm{x}$ when $\mathrm{x}$ is a positive real number. (Explanations will vary.)

Tell Whether the Statement Is True or False x\mathrm{x}x Represents a Positive Real Number

Tell Whether the Statement Is True or False $\mathrm{x}$ Represents a Positive Real Number