Which is the largest among the numbers : $$\root 3 \of 7 ,\root 4 \of {13} ,\sqrt 5 $$
A. $$\sqrt 5 $$
B. $$\root 3 \of 7 $$
C. $$\root 4 \of {13} $$
D. All are equal
Answer: Option A
Solution (By Examveda Team)
$$\root 3 \of 7 ,\root 4 \of {13} ,\sqrt 5 $$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 |
| ↓ | ↓ | ↓ |
| 2401 | 2197 | 15625 |
This Question Belongs to Arithmetic Ability >> Number System
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Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
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C. 12, 24, 32
D. 5, 10, 15
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