√576800 is between

Question

√576800 is between

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

D3N0 · Accepted Answer

Ans: E 
The root of 57 is between 7 and 8
So this will be between 700 and 800 
Any number less than 700 has a max square of <490000, so it can't be less than 700
Ans: E

pushpitkc · Answer

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)

chetan2u · Answer

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

EddieHollywood · Answer

I used backsolving and squared each left number starting with C, so answer is E

CrackverbalGMAT · Answer

Since there are 2 zeros at the end, we can write  \sqrt{576800} = \sqrt{5768 \space * \space 100} = 10\sqrt{5768}

The closest squares to 5768 are 4900 and 6400

10\sqrt{4900} = 10\sqrt{70 * 70} = 10 * 70 = 700  and

10\sqrt{6400} = 10\sqrt{80 * 80} = 10 * 80 = 800

Therefore the square root of 576800 lies between 700 and 800.

Option E

Arun Kumar

ScottTargetTestPrep · Answer

Solution:
 
Since 700^2 = 490,000 and 800^2 = 640,000 and 576,800 is between 490,000 and 640,000, the square root of 576,800 is between 700 and 800.

Answer: E

CrushTheQuant · Answer

Strategically, you want to think about "maximums and minimums" - an approach for which you will be rewarded on many different types of GMAT questions - and then look at the answer choices

He's an explanation of this √576,800 question on YouTube:

https://www.youtube.com/watch?v=sXCF_oX ... dqadI2AZt8

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√576800 is between

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√576800 is between

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