Math, asked by snehagoyal, 1 year ago

simplify the following
(√3-√2)²

Answers

Answered by Rapanzeel
86

Answer:

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Answered by SteffiPaul
18

Given,

  • (√3-√2)² is given.

To find,

  • We have to simplify the given expression.

Solution,

We can simplify the given expression by using the following identity:

       (a-b)² = a²+b²-2ab    (*)

where a = √3 and b = √2

Using (*), we get

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

              = 3 + 2 -2\sqrt{6}

              = 5-2\sqrt{6}

Hence, (√3-√2)² can be simplified as 5-2\sqrt{6}.

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