How do you simplify: the square root of 6 (7 the square root of 3 + 6)?

1 Answer
Aug 3, 2015

Answer:

#=color(blue)(21sqrt2 + 6sqrt6#

Explanation:

Square root of 6 (7 the square root of 3 + 6).

Expressing the question in numbers:

#=color(blue)(sqrt6*)(7sqrt3+6)#

#=color(blue)(sqrt6) *(7sqrt3) + color(blue)((sqrt6)) ( 6)#

#=7sqrt3.sqrt6 + sqrt6 * ( 6)#

#=7sqrt(3*6) + 6sqrt6#

#=7sqrt(3*3*2) + 6sqrt6#

#=7*3sqrt2 + 6sqrt6#

#=color(blue)(21sqrt2 + 6sqrt6#