Question

What is the simplified form of (radical) 400x^100 ?

200^10
200^50
20^10
20^50

Answer 1

Answer: The simplified form of the radical is
`20x^(50).`

Step-by-step explanation: We are given to find the simplified form of the following radical:

`R=\sqrt{400x^(100)}.`

We will be using the following square root property:

`√(a)=a^{(1)/(2)}.`

The simplification is as follows:

`R\\\\=\sqrt{400x^(100)}\\\\=(400x^(100))^(1)/(2)\\\\=(20^2x^(100))^(1)/(2)\\\\=20^{2*(1)/(2)}* x^{100*(1)/(2)}\\\\=20* x^(50)\\\\=20x^(50).`

Thus, the simplified form of the radical is
`20x^(50).`

Answer 2

`\sqrt{400x^(100)}=\sqrt{(20x^(50))^(2)}\\\\=20x^(50)`

We suppose you intend this to match the 4th selection.