Question

simplify (3-root3)^2​

Answer 1

Step-by-step explanation:

solution is in the above shot

Answer 2

The simplified form of ( 3 - √3 )² is 12 - 6√3.

Given: ( 3 - √3 )²

To Find: Simplified form of ( 3 - √3 )².

Solution:

We can solve the numerical using the formula,

      ( a - b )² = a² + b² - 2ab        [ where a,b are integers ]   .......(1)

We are given,

       ( 3 - √3 )²

Using (1), we can say that;

  ⇒  ( 3 - √3 )²  =  3² + (√3)² - 2 × 3 × √3

  ⇒  ( 3 - √3 )²  =  9 + 3 - 6√3

  ⇒  ( 3 - √3 )²  = 12 - 6√3

Hence, the simplified form of ( 3 - √3 )² is 12 - 6√3.

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