What is the mathematical representation of the square of a number?

What is the mathematical representation of the square of a number?

• A. x², where x is the number
• B. √x, where x is the number
• C. 2x, where x is the number
• D. x³, where x is the number

Answer: (A)

The square of a number refers to the result of multiplying that number by itself. In mathematical terms, if you have a number represented as \( x \), squaring that number can be represented as \( x \times x \), which is succinctly written as \( x² \). This notation indicates that the number is raised to the exponent of 2, which is the defining characteristic of squaring. Choosing \( √x \) signifies the square root of \( x \), not the square itself. The expression \( 2x \) represents two times the number, which is not relevant to squaring. Lastly, \( x³ \) indicates that the number is raised to the power of three, which constitutes cubing, rather than squaring. Thus, \( x² \) accurately captures the essence of squaring a number.

The square of a number refers to the result of multiplying that number by itself. In mathematical terms, if you have a number represented as ( x ), squaring that number can be represented as ( x \times x ), which is succinctly written as ( x² ). This notation indicates that the number is raised to the exponent of 2, which is the defining characteristic of squaring.

Choosing ( √x ) signifies the square root of ( x ), not the square itself. The expression ( 2x ) represents two times the number, which is not relevant to squaring. Lastly, ( x³ ) indicates that the number is raised to the power of three, which constitutes cubing, rather than squaring. Thus, ( x² ) accurately captures the essence of squaring a number.