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√(5) + √(80) = √(5) + √(16*5) = √(5) + __ √(5) = __
Here is a visual of my problem

You use the rule
\[\Large \sqrt{x*y} = \sqrt{x}*\sqrt{y}\]

so,
\[\Large \sqrt{16*5} = \sqrt{16}*\sqrt{5}\]
\[\Large \sqrt{16*5} = ??\]

if you can explain the process of how you get the answer too then that will be great as well.

what is the square root of 16 equal to?

the square root of 4 then the square root of 2

the square root of 16 is 4
once you take the square root, the square root symbol goes away

\[\Large \Large \sqrt{16*5} = \sqrt{16}*\sqrt{5}\]
\[\Large \Large \sqrt{16*5} = 4\sqrt{5}\]

5√(5)

so do you see how \[\Large \Large \sqrt{16*5} = 4\sqrt{5}\] ??

you took the square root of each one individually right?

yes, the square root of 16 is 4
the square root of 5 is some decimal, so we leave that alone

so,
\[\Large \sqrt{5}+\sqrt{16*5} = \sqrt{5}+4\sqrt{5}\]

yes bc its prime

there is a 1 in front of that first sqrt(5) term
\[\Large \sqrt{5}+4\sqrt{5} = 1\sqrt{5}+4\sqrt{5}\]

oh okay i think i get it.

so you see how
\[\Large 1\sqrt{5}+4\sqrt{5} = 5\sqrt{5}\] ?

yes I got the correct answer on another problem! thank you!! will you be on tomorrow?

yes I'll be online tomorrow

and I'm glad to be of help and that it's making more sense now

if so i will give you several other medals for each problem that i have

ok sounds good, have a good day/night