If \(x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)}\) then the value of x is

A 1.20

B 1.68

C 11.99

D 12

E 12.99

Solution

Correct Answer: Option A

The given expression may be simplified as:

\(\Rightarrow x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)}\)

\(\Rightarrow x = \sqrt {\frac{{196}}{{100}}} - \sqrt {\frac{4}{{100}}}\)

\(\Rightarrow x = \frac{{\left( {\sqrt {196} - \sqrt 4 } \right)}}{{\sqrt {100} }}\)

\(= \frac{{14 - 2}}{{10}}\)

= 1.20

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