Simplify the number using the imaginary unit i.
Root negative 25 EndRoot
The simplified form of the number is 5i.
To simplify the number using the imaginary unit i, we can find the square root of -25.
The square root of a negative number is not a real number because no real number, when squared, can result in a negative value. Instead, we can express it using the imaginary unit i, where i is defined as the square root of -1.
Therefore, the simplified form of the square root of -25 is:
√(-25) = √((-1) * (25))
= √(-1) * √(25)
= i * 5
So, the simplified number is 5i.
To simplify an expression involving the imaginary unit i, you need to find the square root of the number inside the square root sign, and then multiply it by i to get the final result.
In this case, we need to simplify the square root of -25. Since -25 is a negative number, we can rewrite it as -1 * 25 to separate the negative sign. Now we have the square root of -1 * 25.
The square root of -1 is often represented as the imaginary unit i, so we have i * square root of 25.
The square root of 25 is 5, so the simplified expression becomes 5i.
Therefore, the simplified form of the square root of -25 is 5i.