Question

The square root of 5 +the square root of 80 = the square root of 5 + square root of 16 times 5 = the square root + 4 and the square root of 5 = 5 and the square root of 5. I am willing to offer medals if who ever helps me is willing to help with a few other problems tomorrow and also explain the process. I will give you medals for each individual problem if you become a fan and help me out with these Radicals and Complex Numbers. Thanks!!!

Answer 1

√(5) + √(80) = √(5) + √(16*5) = √(5) + __ √(5) = __

Here is a visual of my problem

Answer 2

You use the rule

\[\Large \sqrt{x*y} = \sqrt{x}*\sqrt{y}\]

Answer 3

so,

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

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

Answer 4

I guess? Im super confused I haven't worked on a problem like this in a while.
If your familiar with my math lab then that's where I've gotten this problem from.

Answer 5

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

Answer 6

what is the square root of 16 equal to?

Answer 7

the square root of 4 then the square root of 2

Answer 8

the square root of 16 is 4

once you take the square root, the square root symbol goes away

Answer 9

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

Answer 10

THe answer is supposed to be 5 on the square root of 5 im just confused on why that is the answer and how they are getting the answer so that I can other questions like one

Answer 11

5√(5)

Answer 12

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

Answer 13

you took the square root of each one individually right?

Answer 14

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

Answer 15

so,

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

Answer 16

yes bc its prime

Answer 17

there is a 1 in front of that first sqrt(5) term

\[\Large \sqrt{5}+4\sqrt{5} = 1\sqrt{5}+4\sqrt{5}\]

Answer 18

the last step is to add the numbers outside the root 5 terms

1+4 = 5

think of it as 1x+4x = 5x where x is equal to sqrt(5)

Answer 19

oh okay i think i get it.

Answer 20

so you see how

\[\Large 1\sqrt{5}+4\sqrt{5} = 5\sqrt{5}\] ?

Answer 21

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

Answer 22

yes I'll be online tomorrow

Answer 23

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

Answer 24

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

Answer 25

perfect!! okay tomorrow i will put on a few other problems for us to work with see ya tomorrow jim_thompson5910

Answer 26

ok sounds good, have a good day/night