Question

simplify (2√3-3√2)² please find the answer of this question ​

Answer 1

Answer:

(2√3-3√2)²

= (2√3)² + (3√2)² - 2×(2√3) (-3√2)

= 12 + 18 - 12√6

= 30 - 12√6

Step-by-step explanation:

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Answer 2

Answer:

( 30 - 12√6 )

Step-by-step explanation:

Given :- The given expression is (2√3 - 3√2)²

To Find :- The value of (2√3 - 3√2)²

Solution :-

The given expression is (2√3 - 3√2)²

We know that,

                          ( a - b )² = a² + b² - 2 × a × b

(2√3 - 3√2)² = ( 2√3 )² + ( 3√2 )² - 2( 2√3 )( 3√2 )

                     = ( 2√3 )( 2√3 ) + ( 3√2 )( 3√2 ) - 2( 2√3 )( 3√2 )

                     = 4 × 3 + 9 × 2 - 2 × 6√6

                     = 12 + 18 - 12√6

                     = 30 - 12√6

Therefore, the value of (2√3 - 3√2)² is 30 - 12√6 .

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