Question

PPPPLLLLLZZZZZ HHHHEEELLLPPPP!!!!!!!! giving out a medal

what is the product of 2√u(√5+3√45)

Answer 1

do you mean 20√5u

Answer 2

because ur answer is not evan an option

Answer 3

Disregard my previous solution.

Answer 4

ok then what is it?

Answer 5

I assume you want to find the result of the following:
\[2 \sqrt{u} (\sqrt{5}+3\sqrt{45})\]
right?

Answer 6

yes

Answer 7

id also like if u could explain to me how u got it if thats alright with you

Answer 8

\[\sqrt{45} = \sqrt{9*5} = \sqrt{9}*\sqrt{5} = 3\sqrt{5}\]

Answer 9

thats not one of the anwsers options though :(

Answer 10

Wait please, I am trying to explain each one of the terms. Do you understand till now?

Answer 11

No

Answer 12

You have the square root of 45 in your expression. We have simplified that above to 3 times square root of 5. Do you understand that?

Answer 13

Sort of, u do the factor tree of 45 and your prime numbers will be 5,3,and 3 since there are two 3's one goes on the outside right?

Answer 14

Yeah, we have 3^2 in the square root, so it can be a 3 outside it

Answer 15

ok i got that part but what about the rest of the equation

Answer 16

So here it is. We said that \[\sqrt{45} = 3\sqrt{5}\]
So we would have:
\[2\sqrt{u}(\sqrt{5}+3\sqrt{45}) = 2\sqrt{u}(\sqrt{5}+3*3\sqrt{5}) = 2\sqrt{u}(\sqrt{5}+9\sqrt{5})\]

Answer 17

When you read this, tell me if you understand, so I will continue.

Answer 18

ok i think i understand all u do is multiply the outside 3 by the 3 being added to the 5 which gives you 9

Answer 19

All we did, is to replace the square root of 45, with 3 square root of 5, that we have found before and do the 3 times 3 multiplication

Answer 20

ok i got it

Answer 21

May I ask you know, if we add:
\[\sqrt{5} + 9\sqrt{5}\]
what would be the result?

Answer 22

would it be 9√10????

Answer 23

No. We have:
\[\sqrt{5}+9\sqrt{5} = 1\sqrt{5}+9\sqrt{5}\]
Let's say \[\sqrt{5}\] is an apple. So we would have:
\[1 apple + 9 apples = ?\]

Answer 24

10 apples xD

Answer 25

Right. So 1 square root of 5 plus 9 square roots of 5 would be ?

Answer 26

10√10

Answer 27

or 10√5 because 5 are like term... one of those

Answer 28

Right! We said square root of 5 is an apple and we would have 10 apples. So we would have 10 square roots of 5! That is:
\[\sqrt{5}+9\sqrt{5} = 10 \sqrt{5}\]

Answer 29

ok got it

Answer 30

So we can continue with the expression:
\[2\sqrt{u}(\sqrt{5}+9\sqrt{5}) = 2\sqrt{u}(10\sqrt{5}) = 2*10*\sqrt{u}\sqrt{5}\]
Ok with that?

Answer 31

so 20√u√5 would be the awnser right?

Answer 32

Right!

Answer 33

TY so much could u help me with another one though, if u want i can put another question up and u reply to that one so u can get another metal

Answer 34

I am sorry, but I will have to log off now. I am sure the other members will help you though! Have fun!

Answer 35

medal*

Answer 36

thnx anyway