What is [tex](\sqrt{2} - \sqrt{3})^2[/tex]?

just use FOIL (First, Outer, Inner, Last).
( √2 - √3 ) X ( √2 - √3 )
First: √2 X √2 = 2 Outer: √2 X -√3 = -√6 Inner: -√3 X √2 = -√6 Last: -√3 X -√3 = 3
and then add them together.
2 - √6 - √6 + 3 5 - 2(√6)
The answer is 5 - 2(√6) .

Answered by Ariana2014 | 2024-06-10

2-2(square root of 6)+ 3 =5-2(square root of 6) or 0.1

Answered by deathstrike001 | 2024-06-10

The square of ( 2 ​ − 3 ​ ) 2 simplifies to 5 − 2 6 ​ by using the square of a binomial formula. You first calculate a 2 , b 2 , and 2 ab , and then combine the results. The final answer is 5 − 2 6 ​ .
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Answered by Ariana2014 | 2024-10-02