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Maths Logarithms, indices,surd

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1. Simplify-8√27+ 3√7292. Simplify √(3375a^4b^2)- √625 (a^2b)3. Simplify √196 -√441+ √424. Simplify √108 (c^3) - √(27c^6) + 6c√35. Simplify (√2 - √27)... 顯示更多 1. Simplify-8√27+ 3√729 2. Simplify √(3375a^4b^2)- √625 (a^2b) 3. Simplify √196 -√441+ √42 4. Simplify √108 (c^3) - √(27c^6) + 6c√3 5. Simplify (√2 - √27) (√32-√3) THX!!!!!!!!! 更新: 1. Simplify√27+ √729 2. Simplify √3375a^4b^2)- &ra√dic;625 (a^2b) 3. Simplify √196 √441+ √42 4. Simplify √108 (c^3) - √(27c^6) + 6c√3 5. Simplify √2 - √27) √32√3)

最佳解答:

1. Simplify√27+√729 =√(3^3)+√(3^6) =3√3+3^3 =27+3√3 2. Simplify √(3375a^4b^2)- √625 (a^2b) =√(9x25x15a^4b^2)-√(25^2)(a^2b) =15√15|a^2b|-25a^2b =15√15a^2b-25a^2b.............if b>0 3. Simplify √196 √441+ √42 =(√14^2)(√21^2)+√42 =14x21+√42 =294+√42 4. Simplify √108 (c^3) - √(27c^6) + 6c√3 √(4x9x3)(c^3)-√(3^3c^6)+6c√3 =6√3c^3-3√3|c^3|+6c√3 =3√3c^3+6c√3...............if c>0 5. Simplify (√2-√27)(√32-√3) =(√2-3√3)(4√2-√3) =8-12√6-√6+9 =17-13√6

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