Question

Simplify:
square root of 2 over cube root of 2
(It won't let me write it with the radical symbol)
Which one is the answer?
2 to the power of 1 over 6

2 to the power of 1 over 3

2 to the power of 5 over 6

2 to the power of 3 over 2

Answer 1

Also, how would I graph y = the square root of the quantity x plus 6?.

Answer 2

@ranga Could you help? I'm not a creeper or anything it's just I've seen you answer other people's questions and the answers were very helpful.

Answer 3

\[\Large \frac{ \sqrt{2} }{ \sqrt[3]{2} } = \frac{ 2^{1/2} }{2^{1/3} } = 2^{1/2-1/3} = 2^{1/6} \]

Answer 4

Thank you so much! For the second question, where would the line begin? The options are it beginning at:
-8
-7
-6
-4

Answer 5

Is the graph for \[y = \sqrt{x+6} \quad or \quad y = \sqrt{x} + 6 \]

Answer 6

the first one

Answer 7

You cannot take the square root of a negative number. square root of 0 and positive numbers are okay but no negative numbers.
y = sqrt(x + 6)
x + 6 >= 0
x >= -6

So the graph will satrt at x = -6. That is the lowest value allowed for x.

Answer 8

Thats what I thought :) Can you help me with one more question?

Answer 9

I can try one more here.

Answer 10

What is 2 to the power of 3 over 2 equal to?

square root of 8

cube root of 8

cube root of 16

square root of 16

Answer 11

\[\Large 2^{3/2} = (2^3)^{1/2} = 8^{1/2} = \sqrt{8}\]

Answer 12

One second

Answer 13

Would it look like 2^~/8
^ that is supposed to symbolize the radical.

Answer 14

The answer I have above is: radical 8 or square root of 8.

Answer 15

Not sure what you are asking.