How do you multiply #( 3 sqrt 5) ( 2 sqrt 10 )#?

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Answer 1 · 2017-04-15T01:46:15

#(3sqrt5)(2sqrt10)=color(blue)(30sqrt2#

Multiply:

#(3sqrt5)(2sqrt10)#

Remove parentheses.

#3sqrt5xx2sqrt10#

Combine like terms.

#3xx2xxsqrt(5xx10)#

Simplify.

#6sqrt50#

Prime factorize #sqrt50#.

#6sqrt(2xx5xx5)=#

#6sqrt(2xx5^2)#

Simplify.

#6xx5sqrt2#

Simplify.

#30sqrt2#