Question

rationalising factor of a +b power 1/3​

Answer 1

Answer:

rationalising factor of a +b power 1/3

=(a+b)^2/3

Answer 2

Answer:

Rationalising form of $(a+b)^{\frac{1}{3} }$ is $\frac{a+b}{(a+b)^{\frac{2}{3} } }$

Step-by-step explanation:

TO FIND: Rationalising factor of  $(a+b)^{\frac{1}{3} }$

Rationalising Factor:

                            For getting a Rational Number the given expression should be multiplied or divided with a irrational expression then it is known as Rationalising Factor.

        We can identify the simplest form of  rationalising factor of the given expression by converting the given expression into simplest form.

              $Rattionalisng form (a+b)^{\frac{1}{3} }=(a+b)^{\frac{1}{3} }*\frac{(a+b)^{\frac{2}{3} } }{(a+b)^{\frac{2}{3} } }$

                                                    $=\frac{(a+b)^{\frac{1}{3} +\frac{2}{3} } }{(a+b)^{\frac{2}{3} } }$

                                                      $=\frac{(a+b)^{1} }{(a+b)^{\frac{2}{3} } }$

               Rationalising form is of $(a+b)^{\frac{1}{3} }$     =$\frac{a+b}{(a+b)^{\frac{2}{3} } }$        

                                   

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