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# (5*60 + 4*121)^(1/2)

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Math Expert
Joined: 02 Sep 2009
Posts: 64158

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25 Jul 2018, 20:37
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Difficulty:

15% (low)

Question Stats:

79% (01:37) correct 21% (01:51) wrong based on 63 sessions

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$$\sqrt{5*60 + 4*121}$$

A. $$10\sqrt{3}$$

B. 22

C. 28

D. 31

E. $$10\sqrt{3}+21$$

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Math Expert
Joined: 02 Aug 2009
Posts: 8593

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25 Jul 2018, 20:41
Bunuel wrote:
$$\sqrt{5*60 + 4*121}$$

A. $$10\sqrt{3}$$

B. 22

C. 28

D. 31

E. $$10\sqrt{3}+21$$

$$\sqrt{5*60 + 4*121}........\sqrt{5*5*2*2*3+2*2*11*11}=2\sqrt{75+121}=2√196=2*14=28$$

C
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Status: In last prep stage
Joined: 11 Jun 2017
Posts: 160
GMAT 1: 630 Q44 V33
GMAT 2: 680 Q47 V37
GPA: 3.2

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25 Jul 2018, 20:42
Do multiply ,then add ,then root.
√5*60+4*121 =√300+484 =√784 =28
Ans=28
VP
Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

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25 Jul 2018, 21:04
Bunuel wrote:
$$\sqrt{5*60 + 4*121}$$

A. $$10\sqrt{3}$$

B. 22

C. 28

D. 31

E. $$10\sqrt{3}+21$$

Given
$$\sqrt{5*60 + 4*121}$$

$$\sqrt{4*15*5 + 4 *121}$$
VP
Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

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25 Jul 2018, 21:06
Bunuel wrote:
$$\sqrt{5*60 + 4*121}$$

A. $$10\sqrt{3}$$

B. 22

C. 28

D. 31

E. $$10\sqrt{3}+21$$

Given
$$\sqrt{5*60 + 4*121}$$

= $$\sqrt{4*15*5 + 4 *121}$$

=$$\sqrt{4( 15*5 + 121)}$$

= $$\sqrt{4*196}$$

= 28.

Note: 14*14 = 196 and 2*2 = 4

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3367

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25 Jul 2018, 21:15

Solution

To find:
• The value of the expression √(5*60 + 4*121)

Approach and Working:
We can rewrite the expression as follows:
• $$\sqrt{(5*60 + 4*121)}$$
= $$\sqrt{(300 + 484)}$$
= $$\sqrt{784}$$ = 28

Hence, the correct answer is option C.

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Re: (5*60 + 4*121)^(1/2)   [#permalink] 25 Jul 2018, 21:15