If p=3+2√2 find the values of p+1/p

6

Step-by-step explanation:

1/p = 1/(3 + 2sqrt2)

Multiplying by the conjugate (which you should pretty much always do to simplify), we get

(3-2sqrt2)/((3+2srqt)(3-2sqrt2))

which is

(3-2sqrt2)/(9-8) = 3-2sqrt2.

Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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