Which equation results from isolating a radical term and squaring both sides of the equation for the equation square root of c minus 2 end root minus square root of c is equal to 5 ?
Answer
A
c minus 2 is equal to 25 plus c
B
c minus 2 is equal to 25 plus c plus 10 square root of c
C
c minus 2 is equal to 25 plus c minus 10 square root of c
D
c minus 2 is equal to 25 minus c
Explanation
Add √c to both sides to isolate the other radical: √(c − 2) = 5 + √c. Squaring both sides gives c − 2 = (5 + √c)² = 25 + c + 10√c, which is choice B.
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