Explanation

Let's simplify 9/√12:

9/√12 = 9/√(4 × 3)

= 9/(2√3)

= (9 × √3) / (2 × 3)

= 3√3 / 2

The additive inverse is the negative of this:

-(3√3 / 2)

Explanation

Explanation

The square root of 1/4 is:

√(1/4) = √1 / √4

= 1/2

Explanation

5 × 5 × 5 = 125, so √³125 = 5.

Explanation

A rational number is a number that can be written as a fraction (p/q) where p and q are integers and q ≠ 0.

3/0 is a rational number.

Explanation

The empty set is a set with no elements.

It is denoted by { } or Ø.

Explanation

"An" is an indefinite article used before vowel sounds (like intelligent).

Articles help specify nouns — a, an, and the are the three types.

Explanation

"Does my mother love me?" is the correct interrogative (question) sentence.

It follows proper subject-verb agreement and correct auxiliary usage.

Explanation

"Sang" is the past tense of the verb "sing" and shows the action performed.

A verb expresses an action, event, or state of being in a sentence.

Explanation

"Noticed" is the 3rd form (past participle) of the verb "notice."

It is used here with "had" to form the past perfect tense — "had noticed."