Question

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

• (A) 2.0000
• (B) 2.1001
• (C) 2.0125
• (D) 2.0500

Answer 1

The Correct Option is C

Explanation:
Let $f(x)=x^{1/5}$$=(32+1{)}^{1/5}$Here $,a=32,h=1/5$$f(a+b)=f(a)+h{f}^{\prime }(a)$$(32+1{)}^{1/5}={32}^{1/5}+\frac{1}{5}\times \frac{1}{{32}^{4/5}}$$(33{)}^{1/5}=2+\frac{1}{80}$$=2+0.0125$$=2\cdot 0125$Hence, the correct option is (C).