Question

help

Answer 1

\[r^2=\frac{ 9 }{ 2 }\]

Answer 2

\[r=\frac{ 3\sqrt2 }{ 2 }\]

Answer 3

How did 9 become,

Answer 4

\[3\sqrt2\]

Answer 5

got it
okay so you have to take square root both sides to cancel out the square

Answer 6

\[\huge\rm \sqrt{r^2}=\sqrt{\frac{ 9 }{ 2 }}\] square root both sides

Answer 7

\[\sqrt{r^2} = r \]
square root cancels with the square
because when you convert square root to exponent you will get \[\huge\rm \sqrt{r^2} = r^\frac{ \cancel{2} }{\cancel{ 2} }\] according to this exponent rule \[\large\rm \sqrt[n]{x^m} = x^\frac{ m }{ n }\]

Answer 8

now solve right side \[\sqrt{\frac{ 9 }{ 2 }}\] is same as square root of 9 and 2 \[\sqrt{\frac{ 9 }{ 2 }}=\frac{ \sqrt{9} }{ \sqrt{2} }\] you can't have the radical sign at the denominator of the fraction so that's why multiply both the denominator and numerator of the fraction by sqrt{2}(denominator)

Answer 9

ohh right i get it now!

Answer 10

(multiply top and bottom of the fraction by the denominator which is sqrt{2}_

Answer 11

u sure ? :)

Answer 12

yes let me show you.

Answer 13

okay :)

Answer 14

\[\sqrt{r^2} =\frac{ \sqrt9 }{ \sqrt2 }\]

Answer 15

sec

Answer 16

\[r=\frac{ 3 }{ \sqrt2^\frac{ 1 }{ 2 } }\times \frac{ \sqrt2 }{ \sqrt2\frac{ 1 }{ 2 } }\]

Answer 17

\[r=\frac{ 3\sqrt2 }{ 2 }\]

Answer 18

so why did you write sqr{2} to the 1/2 power ?

Answer 19

are you testing me, or you don't know why?

Answer 20

hahah i'm asking a question :)

Answer 21

actually i don't know why did you write square root AND 1/2 power

Answer 22

i actually don't know how it works..

Answer 23

but i know it's correct.

Answer 24

no \[\huge\rm \sqrt{x} = x^\frac{ 1 }{ 2 }\] 1/2 is same as square root of something

Answer 25

you can write \[\frac{ }{ 2^\frac{ 1 }{ 2 } \times 2^\frac{ 1 }{ 2 }}\] then you don't need to write square root

Answer 26

hmm

Answer 27

w8 w8 w8

Answer 28

i remember who told me this i will link you to the question.

Answer 29

don't get it ? it's okay
so this is the exponent rule \[\sqrt[n]{x^m}=x^\frac{m }{ n}\]

Answer 30

oh wait i think i get it

Answer 31

so square root of sqrt{2} is 2^1/2 power \[\huge\rm \sqrt{2} = 2^\frac{ 1 }{ 2 }\] when you changed to exponent form then you don't need square root

Answer 32

oh right!! you are right lol.

Answer 33

the guy told me the same thing you're telling me now! sorry!!!!

Answer 34

ye same thing \[\sqrt{3}=3^\frac{ 1 }{ 3 }\]

Answer 35

it's okay :)

Answer 36

1/3? you mean 1/2?

Answer 37

2 i did type 2 or is it 3 o.O

Answer 38

its 3 lol.

Answer 39

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
ye same thing \[\sqrt{3}=3^\frac{ 1 }{ 3 }\]
\(\color{blue}{\text{End of Quote}}\)
\[\huge\rm \sqrt{3}=3^\frac{ 1 }{ 3 }\]
ohh i see now
yea i meant 2 :)

Answer 40

lol ok thanks!