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13. Simplify as much as possible. Assume all variables are positive. .pdf

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13. Simplify as much as possible. Assume all variables are positive. 3p^2 fourth root 162p^2 ? 3p fourth root 512p^6 Solve the equations below. Check for extraneous solutions. 14. -4 fourth root 3x+6 =12 15. square root 3x-5 = x-1 Solution 13) ANS 3p?162p2 - 3p4?512p6 = 3p* (2*34)1/4 *p2/4- 3p4*29/4*p6/4 =9*21/4*p3/2- 3*29/4*p11/2 = 9?2?p2 -3?512 ?p11 14)ANS -4?3x+6 = 12 ?3x+6 =-3==> 3x+6=729 => x= 241 15) ANS ?3x-5 = x-1 3x-5 =(x-1)^2 => 3x-5= x2-2x+1 => x2-5x+6=0 then x=2 or 3.

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13. Simplify as much as possible. Assume all variables are positive. 3p^2 fourth root 162p^2 ? 3p fourth root 512p^6 Solve the equations below. Check for extraneous solutions. 14. -4 fourth root 3x+6 =12 15. square root 3x-5 = x-1 Solution 13) ANS 3p?162p2 - 3p4?512p6 = 3p* (2*34)1/4 *p2/4- 3p4*29/4*p6/4 =9*21/4*p3/2- 3*29/4*p11/2 = 9?2?p2 -3?512 ?p11 14)ANS -4?3x+6 = 12 ?3x+6 =-3==> 3x+6=729 => x= 241 15) ANS ?3x-5 = x-1 3x-5 =(x-1)^2 => 3x-5= x2-2x+1 => x2-5x+6=0 then x=2 or 3

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