12 grade maths others

Product of two rational numbers is

A. always rational

B. rational or irrational

C. always irrational

D. None of these

Aniket Singh

9 Months agoGrade

1 Answer

Askiitians Tutor Team

Approved Tutor Answer9 Months ago

The product of two rational numbers is always rational. This means that if you multiply two numbers that can be expressed as fractions (like 1/2 and 3/4), the result will also be a fraction. Therefore, the correct answer is:

Answer

A. always rational

Explanation

Rational numbers are defined as numbers that can be expressed as the quotient of two integers. When you multiply two such numbers, the result can also be expressed in this form, confirming that the product remains rational.

Examples

1/2 × 3/4 = 3/8 (rational)
2/3 × 5/6 = 10/18 = 5/9 (rational)

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⎢ -3 -1 ⎥ by reducing into echelon form.

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Which of the following is a null set:

A {0}

B {x: x > 0 or x < 0}

C {x: x² = 4 or x = 3}

D {x: x² + 1 = 0, x ∈ R}

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Product of two rational numbers is A. always rational B. rational or irrational C. always irrational D. None of these

Aniket Singh

1 Answer

Askiitians Tutor Team

Answer

Explanation

Examples

Other Related Questions on 12 grade maths others

Using first principle, find the derivative of loge x where x ∈ (0, ∞).

Find the rank of the matrix A = ⎡ 2 3 7 ⎤ ⎣ -2 4 1 ⎦ ⎢ -3 -1 ⎥ by reducing into echelon form.

For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.

Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A

Which of the following is a null set: A {0} B {x: x > 0 or x < 0} C {x: x² = 4 or x = 3} D {x: x² + 1 = 0, x ∈ R}

Product of two rational numbers is

A. always rational

B. rational or irrational

C. always irrational

D. None of these

Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.

Which of the following is a null set:

A {0}

B {x: x > 0 or x < 0}

C {x: x² = 4 or x = 3}

D {x: x² + 1 = 0, x ∈ R}