# math

If x is greater than or equal to 100, then √x+16 (the whole thing is square rooted) is between
A. √x and √x+1
B. √x+1 and √x+2
C. √x+2 and √x+3
D. √x+3 and √x+4

How do I go about solving this?

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1. look for an exception, that way we can rule out the choice which does not work

e.g. x = 500
√516 = appr 22.7
A) is 22.7 between 22.36 and 22.38 , no
B) is 22.7 between 22.38 and 22.4 , no
I will stop here, since the
question does not make any sense to me

no matter what you pick for x
√(x+16) lies outside any number from √x to √(x+4)
so it can't lie between any of those

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2. 👎

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