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The square root of 24336 is exactly

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Math Expert
Joined: 02 Sep 2009
Posts: 44298
The square root of 24336 is exactly [#permalink]

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04 Mar 2018, 23:57
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The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 44298
Re: The square root of 24336 is exactly [#permalink]

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04 Mar 2018, 23:58
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Joined: 08 Jul 2010
Posts: 2017
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: The square root of 24336 is exactly [#permalink]

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05 Mar 2018, 04:02
Bunuel wrote:
The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158

The best way of answering such question lies is PRIME FACTORIZATION

$$24336 = 4*6084 = 4^2 * 1521 = 4^2*9*169 = 2^4*3^2*13^2$$

$$\sqrt{24336} = 2^2*3*13 = 156$$

ALTERNATE

Out of all available options, the square of only 156 may have Unit digit 6 which the number 24336 has therefore

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Re: The square root of 24336 is exactly [#permalink]

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05 Mar 2018, 04:06
Bunuel wrote:
The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158

Only the square of 156 will result in unit's digit of 6
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Affiliations: Target Test Prep
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Posts: 2116
Re: The square root of 24336 is exactly [#permalink]

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06 Mar 2018, 11:26
Bunuel wrote:
The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158

We are looking for a number that, when squared, will have a units digit of 6. Of our answer choices only 156 will have a units digit of 6 when it is squared.

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Re: The square root of 24336 is exactly [#permalink]

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06 Mar 2018, 18:45
Square of 6 is 6. So only option D has unit digit as 6.

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Re: The square root of 24336 is exactly   [#permalink] 06 Mar 2018, 18:45
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