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What is the product of (18x)^(1/2) and (2x)^(1/2) ?

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What is the product of (18x)^(1/2) and (2x)^(1/2) ? [#permalink]

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New post 04 Mar 2018, 23:16
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79% (00:19) correct 21% (00:14) wrong based on 34 sessions

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What is the product of \(\sqrt{18x}\) and \(\sqrt{2x}\) ?

(A) 6x^2

(B) 6x

(C) 36x

(D) 36x^2

(E) \(6\sqrt{x}\)
Spoiler: OA

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Re: What is the product of (18x)^(1/2) and (2x)^(1/2) ? [#permalink]

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New post 04 Mar 2018, 23:23
Bunuel wrote:
What is the product of \(\sqrt{18x}\) and \(\sqrt{2x}\) ?

(A) 6x^2

(B) 6x

(C) 36x

(D) 36x^2

(E) \(6\sqrt{x}\)


8. Exponents and Roots of Numbers



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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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What is the product of (18x)^(1/2) and (2x)^(1/2) ? [#permalink]

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New post 05 Mar 2018, 01:45
Bunuel wrote:
What is the product of \(\sqrt{18x}\) and \(\sqrt{2x}\) ?

(A) 6x^2

(B) 6x

(C) 36x

(D) 36x^2

(E) \(6\sqrt{x}\)


The product of \(\sqrt{18x}\) and \(\sqrt{2x}\) is \(\sqrt{36*x^2} = \sqrt{36}*\sqrt{x^2} = 6*x\)(Option B)
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Re: What is the product of (18x)^(1/2) and (2x)^(1/2) ? [#permalink]

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New post 05 Mar 2018, 21:39
\(\sqrt{18x}\) x \(\sqrt{2x}\) = \(\sqrt{36x^2}\)

Ans: 6x
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Re: What is the product of (18x)^(1/2) and (2x)^(1/2) ?   [#permalink] 05 Mar 2018, 21:39
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