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