### Miscellaneous algebra questions

1. Rationalize the denominator. √13 - √14 / √13 + √14 2. The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam 1/4 foot wide, 1/2 foot high, and 16 feet long can support 30 tons, find how much a similar beam can sup