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• Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

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Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
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What is the difference between 150^(1/2) and 54^(1/2)

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
What is the difference between 150^(1/2) and 54^(1/2)  [#permalink]

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04 Mar 2018, 22:10
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Difficulty:

15% (low)

Question Stats:

85% (00:49) correct 15% (01:46) wrong based on 45 sessions

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What is the difference between $$\sqrt{150}$$ and $$\sqrt{54}$$

(A) $$2\sqrt{6}$$

(B) $$16\sqrt{6}$$

(C) $$\sqrt{96}$$

(D) $$6\sqrt{2}$$

(E) $$8\sqrt{6}$$

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
Re: What is the difference between 150^(1/2) and 54^(1/2)  [#permalink]

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04 Mar 2018, 22:50
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Joined: 21 May 2013
Posts: 652
Re: What is the difference between 150^(1/2) and 54^(1/2)  [#permalink]

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05 Mar 2018, 03:12
Bunuel wrote:
What is the difference between $$\sqrt{150}$$ and $$\sqrt{54}$$

(A) $$2\sqrt{6}$$

(B) $$16\sqrt{6}$$

(C) $$\sqrt{96}$$

(D) $$6\sqrt{2}$$

(E) $$8\sqrt{6}$$

=5\sqrt{6}-3\sqrt{6}
=2\sqrt{6}
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What is the difference between 150^(1/2) and 54^(1/2)  [#permalink]

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05 Mar 2018, 06:01
Bunuel wrote:
What is the difference between $$\sqrt{150}$$ and $$\sqrt{54}$$

(A) $$2\sqrt{6}$$

(B) $$16\sqrt{6}$$

(C) $$\sqrt{96}$$

(D) $$6\sqrt{2}$$

(E) $$8\sqrt{6}$$

$$\sqrt{150} - \sqrt{54}$$

= $$\sqrt{5^2*3*2} - \sqrt{2*3^3}$$

= $$5\sqrt{6} - 3\sqrt{6}$$

= $$2\sqrt{6}$$, Answer must be (A)
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Re: What is the difference between 150^(1/2) and 54^(1/2)  [#permalink]

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06 Mar 2018, 10:19
Bunuel wrote:
What is the difference between $$\sqrt{150}$$ and $$\sqrt{54}$$

(A) $$2\sqrt{6}$$

(B) $$16\sqrt{6}$$

(C) $$\sqrt{96}$$

(D) $$6\sqrt{2}$$

(E) $$8\sqrt{6}$$

We need to determine √150 - √54:

√150 - √54 = √25 x √6 - √9 x √6

5√6 - 3√6 = 2√6

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Re: What is the difference between 150^(1/2) and 54^(1/2) &nbs [#permalink] 06 Mar 2018, 10:19
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What is the difference between 150^(1/2) and 54^(1/2)

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