How do you simplify #5sqrt8-4sqrt72+3sqrt96#?

1 Answer
Shwetank Mauria
Apr 30, 2016

#5sqrt8-4sqrt72+3sqrt96=12sqrt6-14sqrt2#

Explanation:

#5sqrt8-4sqrt72+3sqrt96#

= #5sqrt(ul(2xx2)xx2)-4sqrt(ul(2xx2)xx2xxul(3xx3))+3sqrt(ul(2xx2xx2xx2)xx2xx3)#

= #5xx2xxsqrt2-4xx2xx3xxsqrt2+3xx2xx2xxsqrt(2xx3)#

= #10sqrt2-24sqrt2+12sqrt6#

= #12sqrt6-14sqrt2#

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