Question

What is the simplified form of 12x sr rt 900x^2y^4z^6

Answer 1

360xy^2z^3

Explanation:

Answer 2

`360x^(2)y^(2)z^(3)`

Explanation:

1. You have the following expression given in the problem above:

`12x\sqrt{900x^(2)x^(4)z^(6)}`

2. To simplify it, multiply all the exponents inside the square root by
`(1)/(2)`, because
`12x\sqrt{900x^(2)x^(4)z^(6)}=12x({900x^(2)x^(4)z^(6)})^{(1)/(2)}`

3. Then, you have:

`900^{(1)/(2)}=30\\x^{(2)((1)/(2))}=x\\y^{(4)((1)/(2))}=y^(2)\\z^{(6)((1)/(2))}=z^(3)`

4. Therefore, the simplified form is:

`(12x)(30x)(y^(2))(z^(3))=360x^(2)y^(2)z^(3)`