How do you simplify #sqrt 10(4+sqrt 5)#?

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How do you simplify #sqrt 10(4+sqrt 5)#?

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Answer 1 · 2015-09-29T17:14:57

#4sqrt(10)+5sqrt(2)#

Explanation:

#sqrt(10)*(4+sqrt(5))#
#=4*sqrt(10)+sqrt(5)*sqrt(10)#
#=4*sqrt(10)+sqrt(5*10)#
#=4*sqrt(10)+sqrt(5*5*2)#
#=4*sqrt(10)+sqrt(5^2*2)#
#=4sqrt(10)+5sqrt(2)#

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How do you simplify #sqrt 10(4+sqrt 5)#?

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