Question

how would you simplify a cubed root radical of 25 times the radical of 125

Answer 1

ok, you have 25^(1/3) * 125^(1/2)?

Answer 2

yes

Answer 3

ok, so how are 25 and 125 related?

Answer 4

Both divisible by 5 and 25?

Answer 5

ok, cool, so 25 = 5^2 and 125 = 5^2

Answer 6

5^3, sorry

Answer 7

oh okay yeah

Answer 8

\[\sqrt[3]{25} \times \sqrt{125} = 25^{1/3} \times 125^{1/2} = 5^{2/3} \times 5^{3/2} = 5^{4/6} \times 5^{9/6} = 5^{13/6}\]

Feel free to correct me, this is my first time using this equation maker.

Answer 9

omg it's too long for the page HAHA

Answer 10

what is the equation maker?

Answer 11

all right

Answer 12

the answer is 5^{13/6} sorry it's too long haha

Answer 13

yeah, that's how to do it easily hrwhyhry

Answer 14

okay.. how on earth did you get that though?

Answer 15

so you have 25=5^2, and 125=5^3....so you have (5^2)^(1/3) * (5^3)^(1/2)

Answer 16

you can then add the exponents...here: \[(5^2)^(1/3)\]

Answer 17

ohhhhh oka

Answer 18

y
mn

Answer 19

(5^2)^(1/3) --> the square (2) and the (1/3) and now add together, 2/3

Answer 20

okay thank you so much!

Answer 21

so, you got it?

Answer 22

i think soooo

Answer 23

now how would you do x-\[\sqrt[3]{3}\div \sqrt{12}\]

Answer 24

sorry its supposed to be the x- the 3 one

Answer 25

????

Answer 26

just a second

Answer 27

thank you :)

Answer 28

\[(x-\sqrt[3]{3})/\sqrt{12}\]

Answer 29

is that the problem? is it equal to something?

Answer 30

no thats the problem. You only have to simplify it

Answer 31

ok

Answer 32

so what is sqrt(12)?

Answer 33

what are factors of 12?

Answer 34

the square root of 4 times the square root of 3?

Answer 35

right on, so sqrt(4) is simple, sqrt(3) is good because the problem has 3^(1/3)

Answer 36

is the answer 1 over x^1/6 times 2?

Answer 37

1/(x^1/6 * 2)?

Answer 38

yes

Answer 39

\[(x-(3^{1/3}))/(2*(3^{1/2}))\]

Answer 40

i had that... i just dont kmow if u can get rid of the three

Answer 41

so you can separate x and -3^(1/3) because they have the same denominator and they are part of a subtraction operation

Answer 42

ok...

Answer 43

thank u for the help by the way

Answer 44

first look at 3^(1/3) / (2 * (3^1/2))

Answer 45

np

Answer 46

can you simplify that? focus on the 3's

Answer 47

u can divide 3 by 3 and get one right

Answer 48

when you divide by exponents you and subtract the exponents from values with the same base

Answer 49

so 3^(1/3) / 3^(1/2) is 3^(1/3) * 3^-(1/2)...can you can add these exponents --> 1/3 = 2/6, 1/2 = 3/6, need to have similar fractions....so 2/6 - 3/6 = -1/6

Answer 50

so you have 3^(-1/6)

Answer 51

which is 1/(3^1/6)

Answer 52

yes and u have to bring it below the division sign since it is negative?>

Answer 53

yeah, like in the last message

Answer 54

is the answer x over 3^1/6 *2

Answer 55

wait, x-1

Answer 56

(x-1)/(2*(3^1/6))

Answer 57

\[(x-1)/(2*(3^1/6))\]

Answer 58

\[(x-1)/(2*(3^{1/6}))\]

Answer 59

how's that look?

Answer 60

Thank you sooo much! I think thats right.....