How do you simplify #(3sqrt5)(2sqrt10)#?

1 Answer
Aug 6, 2017

Answer:

#30sqrt2#

Explanation:

When multiplying coefficients (the whole number) with radicands (the numbers under the square root signs), we multiply them with the other of the same kind.

Hence:

#(3sqrt5)(2sqrt10)#

#=>(3xx2)(sqrt5xxsqrt10)#

The radicands are multiplied under one square root sign.

#=>(6)(sqrt(5xx10))#

#=>6sqrt50#

We can factorise the radicand to simplify it.

#=>6(sqrt(5*5*2))#

Taking out the #5# we get:

#=>6xx5sqrt2#

#=>30sqrt2#