Homework SourseSimplify Squareroot a9b10 c5 Solutionsqrt a9b10c5 sqrt a8ab
Simplify: Squareroot a^9/b^10 c^5 =![Simplify: Squareroot a^9/b^10 c^5 =Solutionsqrt (a^9/(b^10*c^5)) = sqrt (a^8*a/(b^10*c^4*c)) = [a^8*a/(b^10*c^4*c)]^(1/2) = a^(8/2)*a^(1/2)/[b^(10/2)*c^(4/2)*c](/WebImages/36/simplify-squareroot-a9b10-c5-solutionsqrt-a9b10c5-sqrt-a8ab-1109004-1761587570-0.webp "Simplify: Squareroot a^9/b^10 c^5 =Solutionsqrt (a^9/(b^10*c^5)) = sqrt (a^8*a/(b^10*c^4*c)) = [a^8*a/(b^10*c^4*c)]^(1/2) = a^(8/2)*a^(1/2)/[b^(10/2)*c^(4/2)*c")
Solution
sqrt (a^9/(b^10*c^5))
= sqrt (a^8*a/(b^10*c^4*c))
= [a^8*a/(b^10*c^4*c)]^(1/2)
= a^(8/2)*a^(1/2)/[b^(10/2)*c^(4/2)*c^(1/2)]
= [a^4/(b^5*c^2)]*[a^(1/2)/c^(1/2)]
= [a4/(b5*c2)]*sqrt (a/c)
