Write square root of, minus, 150, end square root −150 in simplest radical form.
Question
Write square root of, minus, 150, end square root
-150 in simplest radical form.
Solution
The square root of a negative number involves the concept of imaginary numbers. The square root of -1 is represented as 'i'.
So, to simplify √-150, we can break it down as follows:
√-150 = √(-1 * 150)
This can be further simplified to:
√-150 = √-1 * √150
We know that √-1 is 'i', and √150 can be simplified to 10√15 (since 150 = 10^2 * 15).
So, the simplest radical form of √-150 is:
10i√15
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