What’s 35 Squared?

What’s 35 Squared?

35 squared (35^2) is equal to 1225. When you square a number, you multiply it by itself. So, in this case, 35 multiplied by 35 equals 1225.

Squaring a Number

In mathematics, squaring a number means multiplying the number by itself. The operation of squaring, also known as raising to the second power, produces the square of a number. Understanding how to square numbers allows us to evaluate exponential expressions.

Let’s look at squaring the number 35 step-by-step:

Definition of Squaring

Squaring a number n means:

  • Multiplying n by itself
  • Denoted by n2

So for any number, to square it:

  1. Write the number twice
  2. Multiply the two identical factors

Squaring 35

To square 35:

  1. Write 35 * 35
  2. Multiply: 35 * 35 = 1,225

Therefore, 352 = 1,225.

Checking the Work

We can double check the result by entering 35^2 into a calculator. Pressing “35” “Second” “x^2” will also give 1,225. Getting the same solution confirms 35 squared is equal to 1,225.

Why Squaring Works

Squaring gives the area of a square with side lengths of that number.

For a square with sides of 35 units:

  • The area formula is A = side^2
  • So A = 352
  • Which gives 1,225 square units

This geometric relationship provides the logic for squaring numbers.

In summary, to square a number, multiply the number by itself. This duplicates the number in the multiplication analogous to duplicating a square’s sides to find its area. Practicing squaring builds fluency with exponential operations.

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