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# What is √54×√24?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
What is √54×√24?  [#permalink]

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11 Mar 2018, 20:08
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:05) correct 9% (01:11) wrong based on 143 sessions

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What is √54×√24?

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

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Re: What is √54×√24?  [#permalink]

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11 Mar 2018, 20:15
$$\sqrt{54}$$= 3$$\sqrt{6}$$

$$\sqrt{24}$$= 2$$\sqrt{6}$$

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

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Re: What is √54×√24?  [#permalink]

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12 Mar 2018, 08:45
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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13 Mar 2018, 09:57
Top Contributor
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

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Re: What is √54×√24?  [#permalink]

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15 Mar 2018, 09:15
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

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Re: What is √54×√24?   [#permalink] 15 Mar 2018, 09:15
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# What is √54×√24?

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