What is 2 root 5 squared?

Here's some information about (2√5)²:

• (2√5)² Calculation: The expression (2√5)² means "2 times the square root of 5, all squared." To solve this, we apply the exponent to both the 2 and the √5.

• Step-by-Step Breakdown:

  • (2√5)² = 2² * (√5)²
  • 2² = 4
  • (√5)² = 5 (The square root and square cancel each other out)
  • Therefore, (2√5)² = 4 * 5 = 20

• Result: The result of (2√5)² is 20.

• Key Concepts: This calculation utilizes the properties of <a href="https://www.wikiwhat.page/kavramlar/exponents">exponents</a> and <a href="https://www.wikiwhat.page/kavramlar/square%20roots">square roots</a>. Specifically, it demonstrates how an exponent distributes over multiplication and how squaring a square root cancels it out.

• Generalization: In general, (a√b)² = a² * b, where 'a' and 'b' are any numbers (and 'b' is non-negative when dealing with real numbers).