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Which of the following is smallest?
Question

Which of the following is smallest?

A.

97\sqrt 9 - \sqrt 7​​

B.

64\sqrt 6 - \sqrt 4​​

C.

285\sqrt 28 - 5​​

D.

184\sqrt 18 - 4​​

Correct option is D

Solution:
We will calculate the value of each expression approximately:
 √9 − √7 = 3 − 2.645 = 0.355
 √6 − √4 = 2.449 − 2 = 0.449
√28 − 5 = 5.291 − 5 = 0.291
√18 − 4 = 4.243 − 4 = 0.243
Among all options, option (d) gives the smallest value.


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