Question

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

Answer 1

The way you typed your questions is not clear. Please use proper keyboard symbols.

Answer 2

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