Tính:
a. \(\dfrac{\sqrt{2}}{\sqrt{18}};\) b. \(\dfrac{\sqrt{15}}{\sqrt{735}};\) c. \(\dfrac{\sqrt{12500}}{\sqrt{500}};\) d. \(\dfrac{\sqrt{6^5}}{\sqrt{2^3.3^5}}.\)
Hướng dẫn giải
Thảo luận (1)
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.\(\dfrac{\sqrt{6^5}}{\sqrt{2^3.33^5}}=\sqrt{\dfrac{2^5.3^5}{2^3.3^5}}=\sqrt{2^2}=2\)
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