When solving, do you always have to isolate the radicals?
- Thread starter Amira...
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It isn't always even possible to isolate all the radicals. For instance:
. . . . .\(\displaystyle \L \sqrt{x\, -\, 3}\, +\, \sqrt{x\, +\, 5}\, =\, \sqrt{3x\, -\, 2}\)
There is no way to get each radical by itself. You'll have to square twice. Yes, it'll be messy.
That said, if you can get the radical by itself, that is generally the way to go.
Eliz.
. . . . .\(\displaystyle \L \sqrt{x\, -\, 3}\, +\, \sqrt{x\, +\, 5}\, =\, \sqrt{3x\, -\, 2}\)
There is no way to get each radical by itself. You'll have to square twice. Yes, it'll be messy.
That said, if you can get the radical by itself, that is generally the way to go.
Eliz.