Evaluate #sqrt7(sqrtx - 7sqrt7)# ?

1 Answer
Alan P.
Sep 15, 2017

#sqrt(7)(sqrt(x)-7sqrt(7))=color(red)(sqrt(7x)-49#

Explanation:

Using the distributive property
#color(blue)(sqrt(7))(color(green)(sqrt(x)-7sqrt(7)))#

#=[color(blue)(sqrt(7)) * color(green)(sqrt(x))] -[color(blue)(sqrt(7)) * color(green)( 7 * sqrt(7))]#

#= color(red)(sqrt(7x)) - [color(green)7 * color(magenta)(""(sqrt(7))^2)]#

#=color(red)(sqrt(7x)-49)#

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