Find the square of 35.

To find the square of 35, you simply multiply 35 by itself. This means you calculate 35 × 35. Let's break it down step by step.

Calculating the Square of 35

The mathematical operation of squaring a number involves multiplying the number by itself. In this case, we have:

• 35 × 35

Breaking It Down

To make the multiplication easier, you can use the distributive property. This involves breaking 35 into smaller, more manageable parts. For instance, you can express 35 as (30 + 5). Now, we can apply the distributive property:

• (30 + 5) × (30 + 5)

Using the formula for the square of a binomial, which is (a + b)² = a² + 2ab + b², we can substitute:

• a = 30
• b = 5

Now, let's calculate:

• a² = 30² = 900
• b² = 5² = 25
• 2ab = 2 × 30 × 5 = 300

Putting It All Together

Now, we add these results together:

• 900 + 300 + 25 = 1225

Therefore, the square of 35 is 1225.

Verification

To ensure our calculation is correct, we can perform the multiplication directly:

• 35 × 35 = 1225

This confirms that our earlier calculation was accurate. So, the final answer is:

The square of 35 is 1225.