Question

Compare the following pair of ratios. 3√5 5√7 √63 √125​

Answer 1

Answer:3√5 / 5√7 = 3/√35 = 3√35 / 35 .

√63/√125 = 3√7 / 5√5 = 3√35 / 25 .

Now, LCM of 35 , 25 = 35 *5 = 175 .

3√35/35 = 15√35/175

3√35/25 = 21√35/175 .

So,

21 √35 / 175 > 15√35/175

Hence, √63/√125 > 3√5 / 5√7 .

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