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

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Answer 1 · 2017-10-21T08:57:14

#30sqrt5#

#3sqrt2xx5sqrt10#

#=(3xx5)sqrt2xxsqrt10--(1)#

#=15sqrt(2xx10)#

#=15sqrt20#

#=15sqrt(4xx5)#

#15xxsqrt4xxsqrt5#

#15xx2xxsqrt5#

#30sqrt5#

at stage #(1)# you could do

#(3xx5)sqrt2xxsqrt(2xx5)#

#=15sqrt2sqrt2sqrt5#

#=15xx2sqrt5=30sqrt5#

How do you simplify #3 sqrt(2) *times* 5 sqrt(10)#?