Question

simply (3-√2)(2-√3)(3-√2)(2+√3)​

Answer 1

Step-by-step explanation:

(3-√2)(2-√3)(3+√2)(2+√3)

(3+√2)(3-√2)(2-√3)(2+√3)

(9-2)(4-3)

7.1

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Answer 2

Answer:

The required simplified form of the given expression is 11 - 6 √2.

Step-by-step-explanation:

We have given that,

( 3 - √2 ) ( 2 - √3 ) ( 3 - √2 ) ( 2 + √3 ).

We have to simplify this expression.

Now,

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

⇒ ( 3 - √2 ) ( 3 - √2 ) ( 2 - √3 ) ( 2 + √3 )

⇒ ( 3 - √2 )² ( 2 - √3 ) ( 2 + √3 )

⇒ [ ( 3 )² - 2 * 3 * √2 + ( √2 )² ] ( 2 - √3 ) ( 2 + √3 ) - - - [ ( a - b )² = a² - 2ab + b² ]

⇒ ( 9 - 6 √2 + 2 ) [ ( 2 )² - ( √3 )² ] - - - [ ( a - b ) ( a + b ) = a² - b² ]

⇒ ( 9 + 2 - 6 √2 ) ( 4 - 3 )

⇒ ( 11 - 6 √2 ) * 1

⇒ 11 - 6 √2

∴ The required simplified form of the given expression is 11 - 6 √2.