(4√6) × (6√24) what type of expression is this1. Imaginary 2. Ra

1.	(4√6) × (6√24) what type of expression is this1. Imaginary 2. Rational 3. Irrational4. None of these
Answer» Correct Answer - Option 2 : Rational Concept used: Rational numbers are those numbers that can be expressed in p/q form where p and q are integers and q ≠ 0, example:- 2/3, 15, 0 etc. Irrational numbers cannot be expressed in p/q form (i.e. they are no rational), example:- √2, √5 etc. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i (iota) Calculation: (4√6) × (6√24) = 6 × 4 × √6 × √24 ⇒ 24√144 ⇒ 24 × 12 = 288 288 can be expressed as 288/1 ⇒ 288 is a rational number ∴ The given expression is a rational number

(4√6) × (6√24) what type of expression is this1. Imaginary 2. Rational 3. Irrational4. None of these

Answer» Correct Answer - Option 2 : Rational

Concept used:

Rational numbers are those numbers that can be expressed in p/q form where p and q are integers and q ≠ 0, example:- 2/3, 15, 0 etc.

Irrational numbers cannot be expressed in p/q form (i.e. they are no rational), example:- √2, √5 etc.

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i (iota)

Calculation:

(4√6) × (6√24) = 6 × 4 × √6 × √24

⇒ 24√144

⇒ 24 × 12 = 288

288 can be expressed as 288/1

⇒ 288 is a rational number

∴ The given expression is a rational number

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