What is 3.5 squared

What is 3.5 squared?

The Correct Answer and Explanation is:

The square of 3.5 is calculated as:

[
3.5^2 = 3.5 \times 3.5 = 12.25
]

So, 3.5 squared equals 12.25.

Explanation:

To square a number means to multiply it by itself. Squaring is a basic arithmetic operation and is often used in algebra, geometry, and many other fields of mathematics. The square of a number is represented by writing the number followed by an exponent of 2, like this: ( x^2 ).

In this case, the number is 3.5. The process of squaring involves multiplying 3.5 by itself:

[
3.5 \times 3.5
]

Now, let’s break down the multiplication step-by-step.

1. Multiplying the whole number part (3) with itself:
   [
   3 \times 3 = 9
   ]
2. Multiplying the whole number part (3) with the decimal part (0.5):
   [
   3 \times 0.5 = 1.5
   ]
3. Multiplying the decimal part (0.5) with the whole number part (3):
   [
   0.5 \times 3 = 1.5
   ]
4. Multiplying the decimal part (0.5) with itself:
   [
   0.5 \times 0.5 = 0.25
   ]

Now, adding all of these results together:

[
9 + 1.5 + 1.5 + 0.25 = 12.25
]

Therefore, ( 3.5^2 = 12.25 ).

Importance of Squaring Numbers:

Squaring numbers is a fundamental operation in mathematics. It is used in various formulas, such as the area of a square, where the area ( A ) of a square with side length ( s ) is given by the formula:

[
A = s^2
]

Squaring also appears frequently in the Pythagorean theorem, the calculation of variances in statistics, and in many other applications across science and engineering.

In conclusion, the square of 3.5 is 12.25, which is a direct result of multiplying 3.5 by itself.