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Examveda

Find the value of x in the expression : $$\root 4 \of {3x + 1} = 2$$

A. 3

B. 6

C. 4

D. 5

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \root 4 \of {3x + 1} = 2 \cr & \Rightarrow {\left( {\root 4 \of {3x + 1} } \right)^4} = {2^4} \cr & \Rightarrow {\left( {3x + 1} \right)^{4 \times \frac{1}{4}}} = 16 \cr & \Rightarrow 3x = 15 \cr & \Rightarrow x = 5 \cr} $$

This Question Belongs to Arithmetic Ability >> Surds And Indices

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