What is negative 10 plus or minus the square root of 212 all over 8 in fraction form?
( -10 ± √212 ) / 8
= (-10 ± √4√53 ) / 8
= (-10 ± 2√53 ) / 8
Now, this fraction can be reduced by cancelling only if you cancel out of the -10, the 2, and the 8; you can cancel 2 out of each: (when you cancel 2 out of 2, it becomes 1, but you need not write it in this case)
= (-5 ± √53 ) / 4
Remember: when cancelling, you MUST cancel the same number out of ALL THREE!
( -10 ± √212 ) / 8
= (-10 ± √4√53 ) / 8
= (-10 ± 2√53 ) / 8
Now, this fraction can be reduced by cancelling only if you cancel out of the -10, the 2, and the 8; you can cancel 2 out of each: (when you cancel 2 out of 2, it becomes 1, but you need not write it in this case)
= (-5 ± √53 ) / 4
Remember: when cancelling, you MUST cancel the same number out of ALL THREE!