Question

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Answer 1

a) \(\sqrt{\dfrac{2a}{3}}\cdot\sqrt{\dfrac{3a}{8}}=\sqrt{\dfrac{6a^2}{24}}=\sqrt{\dfrac{a^2}{4}}=\dfrac{a}{2}\)

b) \(\sqrt{13a}\cdot\sqrt{\dfrac{52}{a}}=\sqrt{13a\cdot\dfrac{52}{a}}=\sqrt{13\cdot52}=26\)