Question

what is the solution if possible

Answer 1

?

Answer 2

sorry i forgot that

Answer 3

isolate the radical move everything else to the other side of the = and keep the balance

Answer 4

wait so what do i do with the three in front of the sqrt

Answer 5

divide to make it 1

Answer 6

you can express 8 as 2^3 and the fifth root is the same as power 1/5

Answer 7

^5sqrt((x+2)^3)=10 this is what i have so far

Answer 8

do you have (x +2)^3/5 = 2^3

Answer 9

how did you get that

Answer 10

start at the top show me your work

Answer 11

oh wait nevermind i see okay i forgot that the 5 root goes in the denominator

Answer 12

what is (27 -3) / 3 ?

Answer 13

8?

Answer 14

8 can be written as 2^3

Answer 15

oh yea okay i got it

Answer 16

so is this my answer
(x+2)^3/5=2^3

Answer 17

no we need to find x lets continue

Answer 18

okay

Answer 19

does this (x+2)^3/5 get simplified

Answer 20

think about rules for exponents

Answer 21

do you distribute the 3/5 to x and 2

Answer 22

we want the power of (x +2) to be 1 so we multiply by 3/5 by 5/3 and do the same to the other side (working with eqn)

Answer 23

no the 3/5 is the power to which the whole expression (x + 2 ) is raised

Answer 24

(x+2)=40/3 is that what you get if you multiply 5/3 to both sides

Answer 25

i did 8(5/3) on the other side

Answer 26

(x + 2)^(3/5)(5/3) = 2^(3)(5/3)

Answer 27

working with the exponents

Answer 28

(x +2) ^1 = 2^5
x + 2 =32
x =30

Answer 29

(x+2)=2^5 so now this?

Answer 30

thank you so mcuh

Answer 31

yes

Answer 32

great rule of practice check your ans

Answer 33

good job!

Answer 34

could you help me with a last one

Answer 35

please

Answer 36

ok

Answer 37

simplest form of the radical expression

Answer 38

great this won't take long
you are adding like terms

Answer 39

okay do i add 6 and 3 first

Answer 40

you have 3(2a)^(1/3)-6(2a)^(1/3)

Answer 41

s0 is it 9 (4a)^1/3

Answer 42

no look at it for a minute

Answer 43

pretend 2a^1/3 is c
then it would be 3c - 6c

Answer 44

so just 9(2a)^1/3?

Answer 45

watch your signs

Answer 46

oh -3(2a)^1/3

Answer 47

you got it! keep practicing and it will come very easy. good job