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Question

Mathematics Question on Geometric Progression

The approximate value of 5√33 correct to 4 decimal places is

A

(A) 2.0000

B

(B) 2.1001

C

(C) 2.0125

D

(D) 2.0500

Answer

(C) 2.0125

Explanation

Solution

Explanation:
Let f(x)=x1/5=(32+1)1/5Here ,a=32,h=1/5f(a+b)=f(a)+hf′(a)(32+1)1/5=321/5+15×1324/5(33)1/5=2+180=2+0.0125=2⋅0125Hence, the correct option is (C).