How do you combine #sqrt5+sqrt5#?

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Answer 1 · 2015-10-13T00:59:14

#2sqrt(5)#

Think about it like this - what would happen if you used #sqrt(5)# as a common factor for that expression?

You know that you can write

#sqrt(5) = sqrt(5) * 1#

This means that you can also write

#sqrt(5) + sqrt(5) = sqrt(5) * 1 + sqrt(5) * 1#

#= sqrt(5) * (1 + 1)#

#= sqrt(5) * 2#

#= color(green)(2sqrt(5))#

Answer 2 · 2015-10-13T01:02:30

#sqrt 5+sqrt 5=2sqrt 5#

You add them together the same way you add two variables, such as #x+x=2x#.

#sqrt 5+sqrt 5=2sqrt 5#