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√576800 is between

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Math Expert
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√576800 is between  [#permalink]

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New post 03 Jul 2018, 23:11
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:57) correct 18% (02:00) wrong based on 81 sessions

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√576800 is between  [#permalink]

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New post 03 Jul 2018, 23:17
Bunuel wrote:
√576800 is between

(A) 300 and 400
(B) 400 and 500
(C) 500 and 600
(D) 600 and 700
(E) 700 and 800


\(700^2 = 490000 | 800^2 = 640000\)

The number 567800 is between \(700^2\) and \(800^2\)

Therefore, the value of √576800 is between 700 and 800(Option E)
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Re: √576800 is between  [#permalink]

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New post 03 Jul 2018, 23:18
3
Ans: E
57 is between 7 and 8
so this will be between 700 and 800
any number less than 700 has max square of <490000 so it can't be less than 700
Ans: E
Bunuel wrote:
√576800 is between

(A) 300 and 400
(B) 400 and 500
(C) 500 and 600
(D) 600 and 700
(E) 700 and 800

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Re: √576800 is between  [#permalink]

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New post 03 Jul 2018, 23:30
1
Bunuel wrote:
√576800 is between

(A) 300 and 400
(B) 400 and 500
(C) 500 and 600
(D) 600 and 700
(E) 700 and 800



To find square root, arrange the numbers in pairs from right side
1) If you get a single digit on left, the square root would start from square of that number or the perfect square just smaller to that.... Example.. 5,76,89..... Here it will start with √5 ~√4=2 and add one zero for each pair so it will be greater than 200
2) if you get a pair of digit , same process but with that pair
Example 576800....57,68,00
Perfect square <57 is 49 do √59=7
Add 2 zeroes for 2 pair of digits after 57..
So >700 and <800

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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√576800 is between  [#permalink]

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New post 04 Jul 2018, 00:02
I used backsolving and squared each left number starting with C, so answer is E
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√576800 is between &nbs [#permalink] 04 Jul 2018, 00:02
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