Why is the answer "18+ 12√2" and not "18+4√18"
Expand and Simply:
(√6+2√3)*2
(*2 means squared)
Why is the answer to this maths question "18+ 12√2"?
2009-05-02 6:12 am
回答 (5)
2009-05-02 6:22 am
✔ 最佳答案
18 + 4√18 can be simplified. Factor out a square from the 18 (the 9), so you get:
18 + 4√(9 * 2)
18 + 4√9 √2
18 + 4(3)√2
18 + 12√2
2009-05-02 2:26 pm
( â6 + 2 â 3 ) ( â6 + 2 â 3 )
6 + 2 â18 + 2 â18 + 12
18 + 4 â18
18 + (4) 3 â2
18 + 12 â2
6 + 2 â18 + 2 â18 + 12
18 + 4 â18
18 + (4) 3 â2
18 + 12 â2
2009-05-02 1:20 pm
it is always most correct to express square roots in their simplest terms.
sqrt(18) = Sqrt(9 x 2) = sqrt(3^2 x 2) = 3xSqrt(2)
btw, 12â2 is equal to 4â18, it is just more correct to express it as 12â2
sqrt(18) = Sqrt(9 x 2) = sqrt(3^2 x 2) = 3xSqrt(2)
btw, 12â2 is equal to 4â18, it is just more correct to express it as 12â2
參考: ~
2009-05-02 1:18 pm
18+ 12â2 and 18+4â18 are equal...
18 + 4â18
18 + 4â9â2
18 + 4(3)â2
18 + 12â2
So you're technically right, but 18 + 12â2 is just more simplified.
Hope I helped.
18 + 4â18
18 + 4â9â2
18 + 4(3)â2
18 + 12â2
So you're technically right, but 18 + 12â2 is just more simplified.
Hope I helped.
2009-05-02 1:18 pm
(â6 + 2â3)^2
= (â6 + 2â3)(â6 + 2â3)
= â(6 * 6) + 2â(3 * 6) + 2â(6 * 3) + (2 * 2)â(3 * 3)
= 6 + 2â18 + 2â18 + 4(3)
= 6 + 4â18 + 12
= 18 + 4â18
= (â6 + 2â3)(â6 + 2â3)
= â(6 * 6) + 2â(3 * 6) + 2â(6 * 3) + (2 * 2)â(3 * 3)
= 6 + 2â18 + 2â18 + 4(3)
= 6 + 4â18 + 12
= 18 + 4â18
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