Add or subtract. Assume all variables represent nonnegative real numbers.
-$8 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } } + 2 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } }$
A) $10 z ^ { 3 } \sqrt [ 4 ] { 10 z }$
B) $- 10 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } }$
C) $10 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } }$
D) Cannot simplify

Question

Quizplus · Accepted Answer

Both terms have a common factor of 2z^2√(10z^3), which can be factored out: 
8z^2√(10z^3) + 2z^2√(10z^3) = 10z^2√(10z^3)

Add or Subtract 8z210z34+2z210z348 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } } + 2 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } }8z2410z3​+2z2410z3​

Add or Subtract $8 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } } + 2 z ^ { 2 } \sqrt [ 4 ] { 10 z ^ { 3 } }$