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# What is the sum of 12 + 27 ?

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Math Expert
Joined: 02 Sep 2009
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What is the sum of 12 + 27 ? [#permalink]

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04 Mar 2018, 23:03
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What is the sum of $$\sqrt{12}+ \sqrt{27}$$ ?

(A) $$\sqrt{29}$$

(B) $$3\sqrt{5}$$

(C) $$13\sqrt{3}$$

(D) $$5\sqrt{3}$$

(E) $$7\sqrt{3}$$
[Reveal] Spoiler: OA

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Math Expert
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Posts: 44282
Re: What is the sum of 12 + 27 ? [#permalink]

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04 Mar 2018, 23:23
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Senior Manager
Joined: 07 Jul 2012
Posts: 321
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Concentration: Finance
Re: What is the sum of 12 + 27 ? [#permalink]

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04 Mar 2018, 23:43
$$\sqrt{12}$$= 2$$\sqrt{3}$$

$$\sqrt{27}$$= 3$$\sqrt{3}$$

$$\sqrt{12}$$+ $$\sqrt{27}$$= 2$$\sqrt{3}$$+ 3$$\sqrt{3}$$

= 5$$\sqrt{3}$$

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What is the sum of 12 + 27 ? [#permalink]

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05 Mar 2018, 05:59
Bunuel wrote:
What is the sum of $$\sqrt{12}+ \sqrt{27}$$ ?

(A) $$\sqrt{29}$$

(B) $$3\sqrt{5}$$

(C) $$13\sqrt{3}$$

(D) $$5\sqrt{3}$$

(E) $$7\sqrt{3}$$

Another apporach to solve this problem is as follows: If x = $$\sqrt{12}+ \sqrt{27}$$

Squaring, we get $$x^2 = (\sqrt{12}+ \sqrt{27})^2 = 12 + 27 + 2\sqrt{12}\sqrt{27} = 39 + 2\sqrt{4*81} = 39 + 2*2*9 = 39 + 36 = 75$$

Therefore, taking square root, we will get x = $$\sqrt{3*5*5} = 5\sqrt{3}$$(Option D)
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What is the sum of 12 + 27 ? [#permalink]

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05 Mar 2018, 06:10
Manager
Joined: 31 May 2017
Posts: 131
Re: What is the sum of 12 + 27 ? [#permalink]

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05 Mar 2018, 21:52
$$\sqrt{12}$$ = 2 $$\sqrt{3}$$
$$\sqrt{27}$$= 3 $$\sqrt{3}$$

$$\sqrt{12}$$ + $$\sqrt{27}$$ =$$2\sqrt{3}$$ + $$3\sqrt{3}$$ = 5 $$\sqrt{3}$$

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Re: What is the sum of 12 + 27 ? [#permalink]

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06 Mar 2018, 11:26
Bunuel wrote:
What is the sum of $$\sqrt{12}+ \sqrt{27}$$ ?

(A) $$\sqrt{29}$$

(B) $$3\sqrt{5}$$

(C) $$13\sqrt{3}$$

(D) $$5\sqrt{3}$$

(E) $$7\sqrt{3}$$

Simplifying, we have:

√12 + √27

√4 x √3 + √9 x √3 = 2√3 + 3√3 = 5√3

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Re: What is the sum of 12 + 27 ? [#permalink]

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06 Mar 2018, 11:32
Bunuel wrote:
What is the sum of $$\sqrt{12}+ \sqrt{27}$$ ?

(A) $$\sqrt{29}$$

(B) $$3\sqrt{5}$$

(C) $$13\sqrt{3}$$

(D) $$5\sqrt{3}$$

(E) $$7\sqrt{3}$$

=2\sqrt{3}+3\sqrt{3}
=5\sqrt{3}
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Joined: 13 Apr 2013
Posts: 341
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: What is the sum of 12 + 27 ? [#permalink]

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11 Mar 2018, 04:33
Bunuel wrote:
What is the sum of $$\sqrt{12}+ \sqrt{27}$$ ?

(A) $$\sqrt{29}$$

(B) $$3\sqrt{5}$$

(C) $$13\sqrt{3}$$

(D) $$5\sqrt{3}$$

(E) $$7\sqrt{3}$$

$$\sqrt{12}+ \sqrt{27}$$

$$\sqrt{2*2*3}$$ + $$\sqrt{3*3*3}$$

2$$\sqrt{3}$$ + 3$$\sqrt{3}$$

5$$\sqrt{3}$$

(D)
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Re: What is the sum of 12 + 27 ?   [#permalink] 11 Mar 2018, 04:33
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