%5E2.jpeg "(8sqrt2)^2")
Simplifying (8√2)²
In mathematics, simplifying expressions is a fundamental skill. Let's break down how to simplify the expression (8√2)².
Understanding the Properties
- Squaring a Product: When you square a product, you square each factor individually. So, (ab)² = a²b²
- Square Root Property: The square root of a number multiplied by itself equals the original number. √a * √a = a
Applying the Properties
- Apply the Squaring a Product Property: (8√2)² = 8² * (√2)²
- Simplify: 8² = 64 and (√2)² = 2
- Multiply: 64 * 2 = 128
Therefore, (8√2)² simplifies to 128.