How do you multiply #8sqrt2 * 8sqrt2#?

1 Answer
Trevor Ryan.
Sep 13, 2015

128

Explanation:

You may simply multiply all the numbers together.
Since multiplication of real numbers is commutative, you may interchange the order to make it easier.

#therefore8sqrt2*8sqrt2=8*8*sqrt2*sqrt2#
#=64*2=128#

Another way of looking at it is by using the laws of exponents (indices) and saying that

#8sqrt2*8sqrt2=(8sqrt2)^2#
#=8^2*(sqrt2)^2#
#=64xx2=128#

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1251 views around the world
You can reuse this answer
Creative Commons License