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The value of 0.6 + (0.81−(0.0144+0.4÷0.5))(\sqrt{0.81} - (\sqrt{0.0144} + 0.4 \div 0.5))(0.81​−(0.0144​+0.4÷0.5)) is :​
Question

The value of 0.6 + (0.81(0.0144+0.4÷0.5))(\sqrt{0.81} - (\sqrt{0.0144} + 0.4 \div 0.5)) is :​

A.

0.82

B.

0.62

C.

0.78

D.

0.58

Correct option is D

Given:

0.6+(0.81(0.0144+0.4÷0.5))0.6 +(\sqrt{0.81} - (\sqrt{0.0144} + 0.4 \div 0.5))​​

Concept Used: 

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin {array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}

Solution:

0.6+(0.81(0.0144+0.4÷0.5))0.6 +(\sqrt{0.81} - (\sqrt{0.0144} + 0.4 \div 0.5)) ​ 

=0.6+(0.9(0.12+0.8))=0.6 +(0.9 - (0.12 + 0.8))​   

=0.6+(0.90.92)=0.6+ (0.9 - 0.92)​   

=0.6+(0.02)= 0.6+ (-0.02)​​

=0.58= 0.58​​

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