Algebra

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How would i complete these problems?

1. (√6mn)^5

2. ^3√16x - ^3√2x^4

3.^4√x • ^3√2x

4. ^3√72x^8

5. √63a^5b • √27a^6b^4

and are these problems correct?

6. √2025xy/3√3 = 15√xy/√3

7. 3√18 + 8√50 = 49√2

8. √12 • √135 = 18√5

  • Algebra -

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  • Algebra -

    6, 7 and 8 are correct.

    easier to write sqrt as fractional power for these
    like sqrt (x) = x^(1/2)
    1.
    {(6 n m )^.5}^5 = (6 m n)^(5/2)
    = (6 m n)^4/2 * (6 m n)^1/2
    = 36 m^2 n^2 sqrt(6 m n)
    2.
    (16x)^1/3) - (2x^4)^1/3 = 2 (2)^1/3 (x)^1/3 - 2^1/3 x^4/3
    = 2^1/3 x^1/3( 2 - x)
    3.
    x^1/4 2^1/3 x^1/3
    = 2^1/3 x^7/12
    4.
    72^1/3 x^8/3
    (2^3 * 3^2)^1/3 x^8/3
    2 (9)^1/3 x^8/3
    5.
    (3*3*7 *a^5 * b^1 *3^3 * a^6* b^4)^1/2
    = (3^5 a^11 b^5)^1/2
    = 9 a^5 b^2 (3 a b)^1/2

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