Question

Medal & fan & testimonial for help with this question! Simplify: sqrt75 -4 sqrt8 -3 sqrt32?

Answer 1

@AaronAndyson @AllanO-the-great @Anaise @Alex_Mattucci @angelnicole @Aileennx3 @bubblysmiles24 @BAdhi @BrandonR @bgrundstrom @babylove2015 @CallMeKiki @Catseyeglint911 @clamin @chainedecho @Directrix

Answer 2

@zepdrix

Answer 3

HI!!

Answer 4

Hey, @misty1212 ! Could you help me out?(:

Answer 5

\[\huge\sqrt{75}-4\sqrt{8}-3\sqrt{32}\]?

Answer 6

Yes ma'am!

Answer 7

ok which one you want to do first?

Answer 8

nvm how about the first one

Answer 9

Its the whole thing that I have to simplify

Answer 10

\[\sqrt{75}=\sqrt{25\times 3}\] right?

Answer 11

Yes

Answer 12

that means \[\sqrt{75}=\sqrt{25}\times \sqrt{3}=5\times \sqrt{3}\] for the first one

Answer 13

Ohh!!

Answer 14

lets move on to the next one

Answer 15

\[\sqrt{8}=\sqrt{4\times 2}\]yes?

Answer 16

Yes, so 2 sqrt2?

Answer 17

bingo

Answer 18

so far we are at \[5\sqrt{3}-8\sqrt{2}\] the \(-8\) because it started at \(-4\sqrt{8}\)

Answer 19

Ohh okay

Answer 20

last one is \(-3\sqrt{32}\) which is the same as \[-3\sqrt{16\times 2}\]

Answer 21

then since \(\sqrt{16}=4\) you have \[-3\sqrt{16}\sqrt{2}=-3\times 4\times \sqrt{2}=-12\sqrt2\]

Answer 22

putting it all together (we are still not done) you get \[5\sqrt{3}-8\sqrt2-12\sqrt2\]

Answer 23

this is called "simplest radical form" btw

Answer 24

now combine like terms, since the last two both have a \(\sqrt2\) final answer is
\[5\sqrt3-20\sqrt2\]

Answer 25

Okay, so would my final answer be 960 sqrt3

Answer 26

@satellite73 stop commenting and start helping !

Answer 27

Whaaat :/

Answer 28

no that is not the final answer

Answer 29

\[5\sqrt3-20\sqrt2\] is , as @misty1212 said

Answer 30

that is because \[-8\sqrt2-12\sqrt2=-20\sqrt2\]

Answer 31

ohhh we dont multiply.. and why does the 2 stay in the sqrt when there are two of them? Shouldnt it just canel out to be 2?

Answer 32

the first term has a \(\sqrt3\) in it, you can't combine it with the other two

Answer 33

good question!
because you are adding (subtracting actually) not multiplying

Answer 34

it is like \[5x-8y-12y=5x-20y\] same idea
you aren't multiplying anything, just combining like terms

Answer 35

Ohhh okay, makes sense! Thanks so much @satellite73 & @misty1212 !

Answer 36

yw

Answer 37

\[\color\magenta\heartsuit\]