Question

What is the simplest form of 3sqrt x^10

Answer 1

x^3 3sqrt x. or C on edge

Explanation:

i took he assignment.

Answer 2

`3|x^5|`

Explanation:

We have the expression
`3\sqrt{x^(10)}`

We must simplify it by using the properties of the roots and exponents

Then:

We know that
`√(x^2) = |x|`

We also know that:

`(x^a)(x^b) = x^(a +b)`

So:

`3\sqrt{x^(10)}\\=3\sqrt{x^2*x^2*x^2*x^2*x^2` Product of powers of the same base

`=3|x|*|x|*|x|*|x|*|x|\\\\= 3|x^5|`

Finaly:

`3\sqrt{x^(10)} = 3|x^5|`