How do you simplify #2\sqrt { 27y } \cdot 6\sqrt { 3y ^ { 7} }#?

1 Answer
smendyka
Nov 29, 2017

See a solution process below:

Explanation:

First, rewrite the expression as:

#(2 * 6)sqrt(27y)sqrt(3y^7) => 12sqrt(27y)sqrt(3y^7)#

We can now combine the radicals as:

#12sqrt(27y * 3y^7) => 12sqrt(27 * 3 * y * y^7) =>#

#12sqrt(81y^8) => 12 * 9y^4 => 108y^4#

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