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Solution 3.1:7a

From Förberedande kurs i matematik 1

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First, we multiply the tops and bottoms of the two terms by the conjugate of their respective denominators, so that there are no root signs left in the denominators,

165176=1656+56+5=6+5(6)2(5)2=656+5=6+5=1767+67+6=7+6(7)2(6)2=767+6=7+6.

Now, we can subtract the terms and simplify the result,

165176=6+5(7+6)=6+576=57.