Question
Which is the largest among the numbers : $$\root 3 \of 7 ,\root 4 \of {13} ,\sqrt 5 $$
Answer: Option A $$\root 3 \of 7 ,\root 4 \of {13} ,\sqrt 5 $$
Taking L.C.M. of 3, 4 and 2.
$${7^{\frac{1}{3} \times 12}}$$
$${13^{\frac{1}{4} \times 12}}$$
$${5^{\frac{1}{2} \times 12}}$$
74
133
56
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↓
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2401
2197
15625
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