How do you simplify √3 ( √15 + 2 )?

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Answer 1 · 2015-10-17T06:22:15

#sqrt 3(sqrt 15+2)=3sqrt5+2sqrt3#

#sqrt 3(sqrt 15+2)#

Distribute the #sqrt 3#.

#sqrt 3sqrt 15+2sqrt 3#

Simplify.

#sqrt 45+2sqrt 3=#

#sqrt(3xx3xx5)+2sqrt 3=#

#sqrt(3^2xx5)+2sqrt 3#

Apply square root rule #sqrt(a^2)=a#.

#3sqrt5+2sqrt3#