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What is √54×√24?

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What is √54×√24?  [#permalink]

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New post 11 Mar 2018, 21:08
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A
B
C
D
E

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Question Stats:

90% (01:06) correct 10% (01:22) wrong based on 148 sessions

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Re: What is √54×√24?  [#permalink]

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New post 11 Mar 2018, 21:15
\(\sqrt{54}\)= 3\(\sqrt{6}\)

\(\sqrt{24}\)= 2\(\sqrt{6}\)

\(\sqrt{54}\)*\(\sqrt{24}\)= 3\(\sqrt{6}\)* 2\(\sqrt{6}\)= 36

Answer: A.
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Re: What is √54×√24?  [#permalink]

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New post 12 Mar 2018, 09:45
Bunuel wrote:
What is √54×√24?

A. 36
B. 38
C. 42
D. 44
E. 46


√54×√24

=3√6 × 2√6

= 6 × 6

= 36, Answer will be (A)
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Re: What is √54×√24?  [#permalink]

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New post 13 Mar 2018, 10:57
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Bunuel wrote:
What is √54×√24?

A. 36
B. 38
C. 42
D. 44
E. 46


I'd use the same approach as varun4s used.
However, this alternative approach is not without its merits :-)

RULE: (√a)(√b) = √(ab)
So, √54×√24 = √(54×24)
=√1296

Notice that √1600 = 40, so √1296 must be less than 40
ELIMINATE C, D and E

Also, notice that 38² = ???4, BUT the units digit of 1296 is 6
ELIMINATE B

Answer: A

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Re: What is √54×√24?  [#permalink]

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New post 15 Mar 2018, 10:15
Bunuel wrote:
What is √54×√24?

A. 36
B. 38
C. 42
D. 44
E. 46


We can simplify the given expression:

√54 x √24 = √9 x √6 x √4 x √6 = √36 x 6 = 6 x 6 = 36

Answer: A
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What is √54×√24?  [#permalink]

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New post 23 Oct 2019, 11:14
Bunuel wrote:
What is √54×√24?

A. 36
B. 38
C. 42
D. 44
E. 46


tHIS IS HOW I SOLVED

sO √54×√24? = (√ 54*24 )

now factorise 54 and 24 to get

54 = 2*3*3*3
24 = 2*2*2*3

Together (√ 2*3*3*3*2*2*2*3 )
Cancel pairs to get rid of root ans = 2*2*3*3 = 36 ans A
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What is √54×√24?   [#permalink] 23 Oct 2019, 11:14
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