Answer: b = √6
Step-by-step explanation: Use the Pythagorean Theorem to solve this.
a² + b² = c²
Plug in your values:
2√3² + b² = 2b²
When a square root is squared, the square root is cancelled out so you will be left with this:
2(3) + b² = 2b²
Subtract b² from both sides so you’re left with:
6 = b²
Now, to get rid of the square, just square root both sides:
√6 = √b²
Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:
b = √6