Multiply:
sqrt-25 sqrt-100
is it 50?
To multiply square roots, you can follow these steps:
1. First, simplify the square root of each number individually.
√(-25) simplifies to √(-1) √(25), which becomes i√25.
√(-100) simplifies to √(-1) √(100), which becomes i√100.
2. Next, calculate the value of each simplified square root.
i√25 is equal to i * 5, which is 5i.
i√100 is equal to i * 10, which is 10i.
3. Finally, multiply the two simplified square roots together.
5i * 10i = 50i². Since i² is equal to -1, 50i² simplifies to -50.
So, the correct answer is -50, not 50.