Question

Square root of 8y^5 X the square root of 40y^2

Answer 1

to multiply variables with exponents, you add the exponents together

Answer 2

oh there's a square root

Answer 3

\[8y^5(\sqrt{40y^2})?\]

Answer 4

you can pull a y out of the square root because \[\sqrt{y^2}=y\]

Answer 5

you can also pull a 2 out of the square root because of \[\sqrt{2^2*10}\]

Answer 6

\[\sqrt{8y^{5}} * \sqrt{40y ^{2}}\]no its

Answer 7

ok

Answer 8

you can put it all under one square root

Answer 9

such as this \[\sqrt{(8y^5)(40y^2)}\]

Answer 10

then i got \[\sqrt{320y ^{7}}\]

Answer 11

yep

Answer 12

now you have to pull numbers and variables out

Answer 13

as a hint, 64*5=320

Answer 14

then change 320 to \[8\sqrt{5} \] then \[8\sqrt{5y ^{7}}\] but i dont know what to do next

Answer 15

yes \[8\sqrt{y^7}\]

Answer 16

im sorry \[8\sqrt{5y^7}\]

Answer 17

now you can factor y

Answer 18

if there was a y^2 in there, you would just take out the y, correct?

Answer 19

into 4 and 3

Answer 20

yeah that too

Answer 21

so what if you factored \[y^7\] as \[y^6y\]

Answer 22

i thought i have to factor it into a perfect square?

Answer 23

\[y^6=(y^3)^2\], if you remember the rules of exponents

Answer 24

so can you pull y^6 out now?

Answer 25

\[8\sqrt{5y ^{6}}y\]

Answer 26

yes, but now \[y^6=(y^3)^2\], which is a perfect square

Answer 27

\[8\sqrt{5y^6y}\]

Answer 28

\[=8\sqrt{5(y^3)^2y}\]

Answer 29

if i said y^3=x, then you would see an x^2 inside of the square root

Answer 30

and you'd pull the x out of \[\sqrt{x^2}\]

Answer 31

see what i'm talking about?

Answer 32

but then i have 8y^3 square root of 5y^3y

Answer 33

nope, you'd pull the y^3 out of the root, leaving you with only the other y

Answer 34

\[8\sqrt{5(y^3)^2y} = 8y^3\sqrt{5y} = \]

Answer 35

forget that last = sign, that is it. it's done now

Answer 36

there's no way to make perfect squares from factors of 5 or y

Answer 37

understand that when you raise a power to a power, you multiply the exponents

Answer 38

i kind of get it i think..i just have to have more practice because it's still kind of confusing but ill get it

Answer 39

yeah that's all it takes is practice