How do you combine like terms for #\sqrt { 16z } + 2\sqrt { 8z } - 3\sqrt { z }#?

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Answer 1 · 2017-06-03T03:10:48

The answer is #sqrtz+4sqrt(2z)#.

Only the terms that have the same square root can be combined.

#sqrt(16z)+2sqrt(8z)-3sqrtz#

Simplify the first term.

#sqrt(16z)=4sqrtz#

Return the term to the expression.

#4sqrtz+2sqrt(8z)-3sqrtz#

Simplify the second term.

#2sqrt(8z)=2xx2sqrt(2z)=4sqrt(2z)#

Return the term to the equation.

#4sqrtz+4sqrt(2z)-3sqrtz#

Gather like terms.

#(4sqrtz-3sqrtz)+4sqrt(2z)#

Combine like terms.

#sqrtz+4sqrt(2z)#