Respuesta :

Answer:

result(s) found

x8y18

See steps

Step by Step Solution:

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y3"   was replaced by   "y^3".  1 more similar replacement(s).

Simplify :sqrt(x16y36)

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

   (2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      (3.1) sqrt(x8)=x4

     (3.2) sqrt(x-6)=x-3

    (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

      (4.1) sqrt(x5)=x2•sqrt(x)

     (4.2) sqrt(x-7)=x-3•sqrt(x-1)

 Applying these rules to our case we find out that

      SQRT(x16y36) = x8y18

Simplified Root :

 x8y18 

Step-by-step explanation:

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