Math, asked by aaro46, 1 month ago

6. Simplify (b) [( sqrt 3+ sqrt 11 )( sqrt - sqrt 11 )]^ 2​

Answers

Answered by Manmohan04
3

Given,

\[{\left[ {\left( {\sqrt 3  + \sqrt {11} } \right)\left( {\sqrt 3  - \sqrt {11} } \right)} \right]^2}\]

Solution,

\[ = {\left[ {\left( {\sqrt 3  + \sqrt {11} } \right)\left( {\sqrt 3  - \sqrt {11} } \right)} \right]^2}\]

\[ = {\left[ {\left( {{{\left( {\sqrt 3 } \right)}^2} - {{\left( {\sqrt {11} } \right)}^2}} \right)} \right]^2}\]

\[\begin{array}{l} = {\left( {3 - 11} \right)^2}\\ = {\left( { - 8} \right)^2}\\ = 64\end{array}\]

Hence the value is 64.

Answered by mudaliarharith
0

Step-by-step explanation:

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