3 root 5 / 5 root 7 , root 63/ root 125 compare the ratio
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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 .
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 .
Shaguftaadwani:
The answer is right
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answer is given and the ratios are compared
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