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
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answer #1
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answered by phoenixshade 5
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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
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answer #2
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answered by Grampedo 7
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How did you get the 3? Is it 9+(3â6 /â3), or (9+3â6) /â3.
If its the former, then you'd get:
9 + 3/â3 * â6 = 9 + â3*â6 = 9 +â(18) = 9 + â(2*9) = 9 + â9*â2 = 9 + 3â2
If its the latter, then you'd get:
(â3)^4/â3 + 3â2 = (â3)^3 + 3â2 = â9*â3 + 3â2 = 3â3 + 3â2 =
3(â3 + â2).
2007-12-31 18:30:14
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answer #3
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answered by xaiym 2
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I take it you want to rationalise it?
9+3â6 /â3
3(3 + â2.â3)/â3
Multiply top and bottom by â3
3â3(3+ â2.â3)/3 [ 3 top & bottom cancel]
3â3+ â2.â3.â3 = 3â3+ 3â2
2007-12-31 18:29:22
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answer #4
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answered by Anonymous
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assume it's (9 + 3â6) / â3
multiply top and bottom by â3 to get the radical out of the denominator
(9 + 3â6) / â3 = (9 â3 + 3â6 â3) / 3 =
3â3 +â18 = 3â3 + 3â2
2007-12-31 18:27:54
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answer #5
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answered by Steve A 7
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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
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answer #6
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answered by enginerd 6
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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
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answer #7
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answered by sugarbaby 3
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(9 + 3â6)/ â3 multiply by â3 to rationalise it which gives you:
= (9â3 + 3â18)/3
= 3â3 + â18
= 3â3 + 3â2
= 3(â3+â2)
2007-12-31 18:26:36
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answer #8
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answered by Anonymous
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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
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answer #9
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answered by Lauren S 2
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(9+3â6 ) / â3
= (9+3â6 ) â3 / 3
= 3 â3 + â18
= 3 â3 + 3 â2
= 3 ( â3 + â2 )
2007-12-31 18:23:47
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answer #10
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answered by vlee1225 6
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