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The square root of 24336 is exactly

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The square root of 24336 is exactly [#permalink]

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New post 04 Mar 2018, 23:57
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

96% (00:12) correct 4% (00:51) wrong based on 56 sessions

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

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New post 04 Mar 2018, 23:58
Bunuel wrote:
The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158


8. Exponents and Roots of Numbers



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

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New post 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

\(24336 = 4*6084 = 4^2 * 1521 = 4^2*9*169 = 2^4*3^2*13^2\)

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

Answer: option D


ALTERNATE

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

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

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New post 05 Mar 2018, 04:06
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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
Answer D
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Re: The square root of 24336 is exactly [#permalink]

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New post 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.

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

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

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

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New post 20 Mar 2018, 10:01
Bunuel wrote:
The square root of 24336 is exactly

(A) 152

(B) 153

(C) 155

(D) 156

(E) 158


Unit digit of the given number 24336 is 6, therefore we need to find an answer choice which has a unit digit as 6.

Hence (D)
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Re: The square root of 24336 is exactly   [#permalink] 20 Mar 2018, 10:01
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