How to pull the memory off a computer that wont turn on

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The absolute easiest way is to remove the hard drive from the broken laptop (lappy A)and using a USB connection attaching the hard drive (from lappy A) to Lappy B with a connector like this; Cables To Go 30504 33in USB 2.0 to IDE/Serial ATA Drive Adapter Cable
http://www.newegg.com/Product/Product.aspx?Item=N82E16812196455
or, you could even get an external enclosure for your hard drive from Lappy A again using USB connection from Lappy B - which one depends upon Lappy A's hard drive interface, IDE or SATA.