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11 answers

I assume you mean (9+3√6) / √3

First, rationalize the denominator by multiplying the numerator and denominator by √3:
(9√3+3√18) / 3

Now you can simplify:
3√3 + √18 = 3√3 + 3√2

2007-12-31 10:26:17 · answer #1 · answered by phoenixshade 5 · 0 0

9+3rt(6) /rt(3)
rt(3){9+3rt(6)}/rt3(rt(3)
rt(3){9+3rt(6)}/3
(3)rt(3){3+rt(6)}/3
rt(3){3+rt(6)}
rt(3){3+rt(3)rt(2)}
3rt(3)+3rt(2)
3{rt(3)+rt(2)}

2007-12-31 18:33:29 · answer #2 · answered by Grampedo 7 · 0 0

How did you get the 3? Is it 9+(3√6 /√3), or (9+3√6) /√3.
If its the former, then you'd get:
9 + 3/√3 * √6 = 9 + √3*√6 = 9 +√(18) = 9 + √(2*9) = 9 + √9*√2 = 9 + 3√2

If its the latter, then you'd get:
(√3)^4/√3 + 3√2 = (√3)^3 + 3√2 = √9*√3 + 3√2 = 3√3 + 3√2 =
3(√3 + √2).

2007-12-31 18:30:14 · answer #3 · answered by xaiym 2 · 0 0

I take it you want to rationalise it?
9+3√6 /√3
3(3 + √2.√3)/√3
Multiply top and bottom by √3
3√3(3+ √2.√3)/3 [ 3 top & bottom cancel]
3√3+ √2.√3.√3 = 3√3+ 3√2

2007-12-31 18:29:22 · answer #4 · answered by Anonymous · 0 0

assume it's (9 + 3√6) / √3
multiply top and bottom by √3 to get the radical out of the denominator

(9 + 3√6) / √3 = (9 √3 + 3√6 √3) / 3 =
3√3 +√18 = 3√3 + 3√2

2007-12-31 18:27:54 · answer #5 · answered by Steve A 7 · 0 0

The way you have written the question the 9 is not part of the numerator that is divided by the square root of 3.

If you have correctly represented the question, then the answer is : 9+3 sqrt(2)

2007-12-31 18:27:26 · answer #6 · answered by enginerd 6 · 0 0

12times3 divided by 1.5.....
try that on the calclator

soo...
24 -i think
im not that sure cuz i havent learned this yet

2007-12-31 18:26:40 · answer #7 · answered by sugarbaby 3 · 0 1

(9 + 3√6)/ √3 multiply by √3 to rationalise it which gives you:

= (9√3 + 3√18)/3
= 3√3 + √18
= 3√3 + 3√2
= 3(√3+√2)

2007-12-31 18:26:36 · answer #8 · answered by Anonymous · 0 0

Your answer is correct but if you actually did the square root of 2 then it will be a repeating decimal. You should leave it that way if you are allowed to keep it simple.

2007-12-31 18:24:27 · answer #9 · answered by Lauren S 2 · 0 1

(9+3√6 ) / √3
= (9+3√6 ) √3 / 3
= 3 √3 + √18
= 3 √3 + 3 √2
= 3 ( √3 + √2 )

2007-12-31 18:23:47 · answer #10 · answered by vlee1225 6 · 1 0

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