Simplify completely: \( 5 \sqrt{2}+\sqrt{50} \) Answer \( =\square \) Entry Tip: To enter an answer like \( 50 \sqrt{21} \), you would type 50sqrt(21). Preview your answer before submitting! Question Help: \( \square \) Video Submit Question

13. Rosie is comparing \( \sqrt{7} \) and \( 3.44444 \ldots \). She says that \( \sqrt{7}>3.44444 \ldots \) because \( \sqrt{7}=3.5 \). a. What is the correct comparison? b. Critique Reasoning What mistake did Ros likely make?

Use rational exponents to simplify the radical. \( \sqrt[26]{3^{13}} \)

Use the properties of logarithms to evaluate each of the following expressions. (a) \( \log _{6} 4+2 \log _{6} 3=\square \) (b) \( \ln e^{5}-\ln e^{2}=\square \)

Use rational exponents to simplify the radical. All variables represent positive real numbers. \[ \sqrt[6]{x^{2} y^{2}} \]

Use the properties of logarithms to evaluate each of the following expressions. (a) \( 7 \ln e^{3}-\ln e^{8}=\square \) (b) \( \log _{6} 4+\log _{6} 9= \)