radical-answers

Solutions to the Sample Problems from Unit 8: Roots & Radical Expressions
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 * 1) 256 is 4^4, so the expression = (4^4)^1.25. 4*1.25 is 5 so it really equals 4^5 which is just 256*4 = 1024.
 * 2) 10 + 5 square roots of 3
 * 25
 * 49
 * 1) The possible rational roots are + or - 1, 1/3, 2, 2/3, 3, 4, 4/3, 6, 12. You find these by finding the factors of the term without a variable, in this case 12, divided by the factors of the leading coefficient, 3. Remember, all of these can be positive or negative. At this point, you can you Descartes for a little more guidance, or just guess, but the roots come out to be 3(x-1)(x+1)(x+4).
 * 2) x^6/y^8
 * 3) x = -4, 1 and -4 turns out to be extraneous!