Math, asked by rajesh5030, 8 months ago

(3-√2) (3+√3)equals​

Answers

Answered by rosey25
0

Answer:

(3-√2) (3+√3)equals =7.5040219928

Answered by Anonymous
0

(3 -  \sqrt{2} )(3 +  \sqrt{3} )

We know an algebraic identity,

(x + a)(x + b) =  {x}^{2}  + (a + b)x + ab

Here

x = 3 \\ a =  -  \sqrt{2}  \\ b =  \sqrt{3}

Now substitute the values

 {(3)}^{2}  + ( -  \sqrt{2}  +  \sqrt{3} )x + ( -  \sqrt{2} )( \sqrt{3})  \\ 9 + ( \sqrt{3 }   -  \sqrt{2} )x + ( -  \sqrt{6} ) \\ 9 +  \sqrt{3} x -  \sqrt{2} x -  \sqrt{6}

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