Question

Hey, guys, I got 1 for the answer but the accuplacer said the answer is "t". I put it in symbolab calculator and it said 1 also. Can some please explain the accuplacer answer.

Answer 1

t

Explanation:

`\sqrt{((t^(2)+t)(t^(3)+t^(2)))/((t^(2)+t)+(t^(3)+t^(2)))}`

looking at the denominator we are going to factor out like terms

`{(t^(2)+t) commonterm`

t ( t + 1) +
`t^(2)` ( t + 1) combine like terms (t+1) similar: 3x + 2x

add coefficients time like term. (3+2)x or 5x

(t+
`t^(2)\\`) (t+1) new denominator

`\sqrt{((t^(2)+t)(t^(3)+t^(2)))/((t+t^(2))(t+1) )}` replaced with new denomimator. cancel
`(t^(2)+t )/(t+t^(2) )`

`\sqrt{((t^(3)+t^(2)))/((t+1) )}` factor out GCF numerator

`\sqrt{(t^(2) (t+1))/((t+1) )}` cancel (t+1)/(t+1)

`\sqrt{t^(2) }` = t