SOLUTION: I need to find out what the smallest power to which you can raise both sides of the radical equation is so that the radicals are eliminated.
the equation is: {{{sqrt (x + 3) }}} =
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: I need to find out what the smallest power to which you can raise both sides of the radical equation is so that the radicals are eliminated.
the equation is: = 3
I know i need to find a power, but I am not sure how to get it. I don't understand what they mean by so that the radicals are eliminated. I had guessed 3 at first but that is obviously wrong. Can you help me? Thanks.
This question is from textbook
Found 2 solutions by stanbon, tutor_paul:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The index on the left side is 2---i.e. square root
The index on the right side is 3--i.e. cube root
To rid the equation of radicals raise both sides to 2*3=6th power
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Cheers,
Stan H.
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Think of this in about the same way you would think of finding the least
common denominator when adding fractions. In this case, you have a square
root (2) and a cube root (3). If you want to get rid of the radicals, figure out
the smallest number that 2 and 3 go into equally.
Try that and prove to yourself that it works.
Good Luck,
tutor_paul@yahoo.com
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