is between which two numbers?

The correct answer is: 9 and 10

GIVEN-
given number = √84
TO FIND-
Numbers between which √84 lie.
SOLUTION-
We know that the nearest perfect square before and after 84 are 81 and 100, respectively.
Hence, √84 lies between √81 i.e. 9 and √100 i.e. 10.
From the given options, option a i.e. 7 & 8 are both <= 9, option b i.e. 8 & 9 are both <= 9 and option d i.e. 10 & 11 are both >= 10.
Hence, the correct option is option b i.e. 9 and 10
FINAL ANSWER-
Option 'b' i.e. '9 and 10' is the correct answer to the given question.