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# Which of the following has a value that is greater than 25?

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Re: Which of the following has a value that is greater than 25? [#permalink]
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Easier way would be to square the numbers

So (10√6)²=600 < 25² -> 10√6 < 25
2√169= 26 > 25
(10√7)²=700 > 25² -> 10√7 > 25

So D

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Re: Which of the following has a value that is greater than 25? [#permalink]
Squaring 25 we get 625.

Now from options,
I. Squaring $$10\sqrt{6}$$ equals to 600 which is < 625

So cancelling options A, C, and E.

II. $$2\sqrt{169 }$$ equals to 2 x 13 = 26 which is > 25

III. Squaring $$10\sqrt{7}$$ equals to 700 which is > 625.

Thus IMO ans is D, i.e., II and III both.
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Which of the following has a value that is greater than 25? [#permalink]
25=$$\sqrt{625}$$

I 10$$\sqrt{6}$$=$$\sqrt{600}$$ < $$\sqrt{625}$$

II 2$$\sqrt{169}$$=$$\sqrt{676}$$ > $$\sqrt{625}$$

III 10$$\sqrt{7}$$=$$\sqrt{700}$$ > $$\sqrt{625}$$

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Re: Which of the following has a value that is greater than 25? [#permalink]
Option I: $$10\sqrt{6} = \sqrt{600} < \sqrt{625} = 25$$
Option II: $$2\sqrt{169} = 2 * 13 = 26 > 25$$
Option III: $$10\sqrt{7} = \sqrt{700} > \sqrt{625} = 25$$