(2√5)^(3) =?

1 Answer
Bereket Zelealem
Mar 19, 2018

I'll give you to answers to this question because I'm not certain how you would like it to be expressed. #8*5^(3/2)# or #20^(3/2)#

Explanation:

#(2* sqrt5)^(3)#
is the same as #(2* sqrt5) * (2* sqrt5) * (2* sqrt5)# =#2^(3) * 5^(3/2)#
this should make sense since #sqrt5#= #5^(1/2)# so when you cube it, you multiply the powers: # 5^((1/2)*3#= #5^(3/2)#

but #2^(3)# is 8,
so #2^(3) * 5^(3/2)# is #8*5^(3/2)#

OR
2=#sqrt4#
so #(2* sqrt5)^(3)# = #(sqrt4 * sqrt5)^(3)#=#(sqrt20)^3#

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