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Solution 3.1:6a

From Förberedande kurs i matematik 1

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We use the standard method and augment the fraction with the conjugate of the denominator 5+2 . Then the formula for the difference of two squares gives

5−22+3=5−22+35+25+2=(5)2−22(2+3)(5+2)=5−425+22+35+32=25+22+35+6=6+22+35+10.
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