jereee jereee
  • 02-08-2020
  • Mathematics
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simplify √16n/m^3 1. 4√mn/n^2 2. 4√mn/m 3. √mn/4m 4. 4√mn/m^2

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pnwanosikeapps pnwanosikeapps
  • 02-08-2020

Answer:

4√mn/m^2

Step-by-step explanation:

√16n/m^3

= √16n/√m^3

= √4x4xn/√mxmxm

= 4√n/m√m

Rationalize by multiplying the numerator and the denominator by the denominator, which is a surd:

= (4√n x √m)/(m√m x √m)

= 4√mxn/m√mxm

= 4√mn/mxm

= 4√mn/m^2

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