## If $$a$$ and $$b$$ are both positive integers such that $$a < b,$$ which of the following must be true?

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### If $$a$$ and $$b$$ are both positive integers such that $$a < b,$$ which of the following must be true?

by Vincen » Wed Sep 15, 2021 9:10 am

00:00

A

B

C

D

E

## Global Stats

If $$a$$ and $$b$$ are both positive integers such that $$a < b,$$ which of the following must be true?

(A) $$a<\sqrt{ab}<b$$

(B) $$\sqrt{a}<\sqrt{ab}<\sqrt{b}$$

(C) $$\sqrt{a}<\sqrt{b}<\sqrt{ab}$$

(D) $$\sqrt{ab}<a<b$$

(D) $$a<\sqrt{ab}<\sqrt{b}$$