How do you combine #19\sqrt { 5} + 4\sqrt { 45}#?

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Answer 1 · 2018-05-17T19:11:27

#31sqrt5#

We can rewrite #sqrt45# as #sqrt9*sqrt5#. Now, we have

#19sqrt5+4(color(blue)(sqrt9)*sqrt5)#

#=>19sqrt5+4(color(blue)(3))(sqrt5)#

#=>19sqrt5+12sqrt5#

We can combine these to get

#31sqrt5#

Hope this helps!