Question

5. Francisco thinks the square root of a number is always smaller than or equal to the number itself. Which explanation shows Francisco is incorrect?A. 9: This number is a counterexample because 9 squared = 3 < 9B. 1/64: This number is a counterexample because 1/64 squared = 1/8 ·§ 1/64 squared = 1/4 and 1/8 < 1/4C. 1/4 This is a counterexample because 1\4 squared= 1/2 > 1/4D. 1: This number is a counterexample because 1 squared = 1 and 1 = 1

Answer 1

$\begin{gathered} \frac{1}{4} \\ take_{\text{ }}the_{\text{ }}square_{\text{ }}root\colon \\ \sqrt[]{\frac{1}{4}}=\frac{\sqrt[]{1}}{\sqrt[]{4}}=\frac{1}{2} \\ where \\ \frac{1}{2}=0.5 \\ \frac{1}{4}=0.25 \\ 0.5>0.25 \end{gathered}$

C. 1/4 This is a counterexample