a) \(\dfrac{\sqrt{2}}{\sqrt{18}}=\sqrt{\dfrac{2}{18}}=\sqrt{\dfrac{1}{9}}=\dfrac{1}{\sqrt{9}}\)
b) \(\dfrac{\sqrt{15}}{\sqrt{735}}=\sqrt{\dfrac{15}{735}}=\sqrt{\dfrac{1}{49}}=\dfrac{1}{7}\)
c) \(\dfrac{\sqrt{12500}}{\sqrt{500}}=\sqrt{\dfrac{12500}{500}}=5\)
d) \(\dfrac{\sqrt{6^5}}{\sqrt{2^3.3^5}}=\sqrt{\dfrac{6^5}{2^3.3^5}}=\sqrt{\dfrac{2^5.3^5}{2^3.3^5}}=\sqrt{2^2}=2\)
a) \(\dfrac{\sqrt{2}}{\sqrt{18}}=\sqrt{\dfrac{2}{18}}=\sqrt{\dfrac{1}{9}}=\dfrac{1}{3}\)
b) \(\dfrac{\sqrt{15}}{\sqrt{735}}=\sqrt{\dfrac{15}{735}}=\sqrt{\dfrac{1}{49}}=\dfrac{1}{7}\)
c) \(\dfrac{\sqrt{12500}}{\sqrt{500}}=\sqrt{\dfrac{12500}{500}}=\sqrt{25}=5\)
d) \(\dfrac{\sqrt{6^5}}{\sqrt{2^3\cdot3^5}}=\sqrt{\dfrac{6^5}{2^3\cdot3^5}}=\sqrt{\dfrac{2^5\cdot3^5}{2^3\cdot3^5}}=\sqrt{2^2}=2\)
a) \(\dfrac{\sqrt{2}}{\sqrt{18}}=\sqrt{\dfrac{2}{18}}=\dfrac{1}{3}\)
b) \(\dfrac{\sqrt{15}}{\sqrt{735}}=\sqrt{\dfrac{15}{735}}=\sqrt{\dfrac{1}{49}}=\dfrac{1}{7}\)
c) \(\dfrac{\sqrt{12500}}{\sqrt{500}}=\sqrt{\dfrac{12500}{500}}=\sqrt{25}=5\)
d) \(\dfrac{\sqrt{6^5}}{\sqrt{2^3\cdot3^5}}=\sqrt{\dfrac{2^5\cdot3^5}{2^3\cdot3^5}}=2\)
