Question

What is the simplified form of StartRoot StartFraction 2,160 x Superscript 8 Baseline Over 60 x squared EndFraction EndRoot? Assume

Answer 1

Explanation:

The correct answer is B 3/10x2

Answer 2

`6x^3`

Explanation:

We want to simplify
`\sqrt{(2,160x^8)/(60x^2) }`

We can rewrite this using property of multiplication to obtain:

`\sqrt{(2,160)/(60)* (x^8)/(x^2)}`

We simplify variable expression in the radicand using
`(a^m)/(a^n)=a^(m-n)`

`\sqrt{36* x^(8-2)}`

`√(36* x^6)`

`\sqrt{36* (x^(3))^2}`

`√(36)* \sqrt{(x^(3))^2}`

`6* x^(3)`

`6* x^3`

Therefore the simplified form is

`6x^3`