How do you add #2sqrt18 + 5sqrt32#?

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How do you add #2sqrt18 + 5sqrt32#?

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Answer 1 · 2015-04-01T02:35:37

Both of the given radicals can be simplified and the resulting radicals are the same value
#sqrt(18) = sqrt(3*3*2) = 3 sqrt(2)#
and
#sqrt(32) = sqrt(4*4*2) = 4 sqrt(2)#

So
#2sqrt(18) + 5 sqrt(32)#

#=2* 3 sqrt(2) + 5* 4sqrt(2)#

#= 26 sqrt(2)#

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How do you add #2sqrt18 + 5sqrt32#?

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