Question

how do i simplify a radical expression that has a variable in it?

Answer 1

\[\sqrt[3]{x^7}\]

Answer 2

make it a rational exponent :)

Answer 3

\[x^{7/3}\]

Answer 4

x^(7/3) = x^(6/3 + 1/3)

x^2 cbrt(x)

Answer 5

it needs to be simplified not solved

Answer 6

that is simplified; in order to 'solve' we would have said x = some number

Answer 7

to simplify just means to write it in another way

Answer 8

cbrt(x^7) = x^2 cbrt(x)

Answer 9

ok thanks but all the answers have either a 3 and an x or a 2 and a 3 and an x

Answer 10

maybe it more accurate to write it like this:

cbrt(x^7) <=> x^2 cbrt(x) :)

Answer 11

\[\sqrt[3]{x^7} <=> x^2 \sqrt[3]{x}\]

Answer 12

thank you so much

Answer 13

yw :)

Answer 14

\[\frac4{9-\sqrt6}\]

Answer 15

rationalize the denimonator

Answer 16

you gotta multiply by the conjugate; which is just cahngeing that - into a +

Answer 17

4 (9+sqrt(6)) 4(9+sqrt(6))
----------- = -----------
81 -6 75

Answer 18

multiply top AND bottom by the conjugate ;)

Answer 19

thx

Answer 20

yw :) if you post a new question in the question box, more people will get a chance to help and you wont run the risk of me not seeing it in this post :)

Answer 21

\[\log_{5}75-\log_{5}3 \]

Answer 22

write the expression as a single logarithm whose coefficient is 1?

Answer 23

log(a) - log(b) = log(a/b) so,

log5(75) - log(3) = log5(75/3) = log5(25)

Answer 24

\[\sqrt{9x+22}=x \]

Answer 25

^2 both sides to get:

9x +22 = x^2

0 = x^2 -9x +22

0 = (x-11)(x+2)

x = 11 and -2 ; but we gotta dbl check because this way can have fake results:

sqrt(9(11)+22) ?= 11

sqrt(99+22) ?= 11

sqrt(121) ?= 11

11 = 11 ; that ones good
--------------------------------

sqrt(9(-2) +22) = -2 .... aint no way that one works lol

x = 11 is the answer

Answer 26

u r a math god!!

Answer 27

more of a math demigod lol

Answer 28

lol

Answer 29

my indian name is "runs with scissors" ....

Answer 30

\[\log_{9}25 \]

Answer 31

calculator keeps giving me the wrong answer

Answer 32

change of base it.... is my guess

Answer 33

ln(25)
----- = answer
ln(9)

Answer 34

1.464.... maybe?

Answer 35

thanks that worked

Answer 36

it should :)

Answer 37

spose we have 9^x = 25

log(9^x) = log(25)

x log(9) = log(25)

x = log(25)/log(9)

x = log9(25) its all good