How do you simplify #sqrt12*sqrt30#?

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Answer 1 · 2018-05-01T20:53:15

#6sqrt10#

#sqrt12*sqrt30=sqrt(4*3)*sqrt(3*10)=sqrt4*sqrt3*sqrt3*sqrt10=2*3*sqrt10=6sqrt10#

Answer 2 · 2018-05-01T20:54:03

exact form: #6sqrt10#

decimal form:#18.97366596…#

Combine using the product rule for radicals.
#sqrt12 *sqrt30 =sqrt(12⋅30)#

Factor #36# out of #360#

#=sqrt(36(10))#

Rewrite #36# as #6^2#
Pull the factor out from under the radical.

exact form: #=6sqrt10#

decimal form:#18.97366596…#