saumya17lc wrote:
If x=5√−37
then which of the following must be true?
√−x>2
x>−2
x2<4
x3<−8
x4>32
GREPREP club question- Quant test 6 Question 11 of 20 ID: Q02-99
Just want to add few details in the explanation-
Points to remember- Odd roots have same signs
eg 3√−125 =-5 and 3√125 =5 Now back to question-
we know
5√32=2 so
5√−37≈2.1 ( it should be slightly greater than
25)
Now we can check with each option-
only option D fits the sol. because
(−2.1)3 < -8 so
x3<−8