Question 85918
Question:


Simplify   {{{x * sqrt(18)- 3*sqrt( 8x^2) }}}



{{{ sqrt(18)}}} can be written as  {{{ sqrt ( 9* 2)}}} =  {{{ 3*  sqrt(2)}}}



again {{{sqrt( 8x^2)}}} can be written as {{{sqrt(2*4*x^2)}}} = {{{2x*sqrt(2)}}}


Now rewrite the given expression as follows.....



{{{x * 3*  sqrt(2)- 3* 2x*sqrt(2) }}}



Here {{{ 3* sqrt(2)}}} is common in both ters ...so take it outside....



==> {{{ 3*sqrt(2)(x-2x)}}}




==> {{{ 3* sqrt(2)* (-x)}}}




==> {{{ -3x* sqrt(2)}}}




Hope you found the explanation useful.



Regards.


Praseena.