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# √{(4.8)(10^9)} is closest to which of the following? A. 7,000

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Math Revolution GMAT Instructor
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√{(4.8)(10^9)} is closest to which of the following? A. 7,000  [#permalink]

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24 Mar 2016, 16:01
1
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Difficulty:

25% (medium)

Question Stats:

67% (00:47) correct 33% (01:02) wrong based on 394 sessions

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√{(4.8)(10^9)} is closest to which of the following?

A. 7,000
B. 70,000
C. 14,000
D. 22,000
E. 220,000

* A solution will be posted in two days.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Aug 2009 Posts: 7112 Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 [#permalink] ### Show Tags 24 Mar 2016, 19:38 1 1 MathRevolution wrote: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 B. 70,000 C. 14,000 D. 22,000 E. 220,000 * A solution will be posted in two days. first lets get the number to slighly more friendly expression-- $$\sqrt{(4.8)*10^9}$$ = $$\sqrt{48*10^8}$$ 48 is nearly equal to 49 which is $$7^2$$.. so ans = $$7*10^4$$ B _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor CEO Joined: 11 Sep 2015 Posts: 3243 Location: Canada Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 [#permalink] ### Show Tags 25 Mar 2016, 11:16 MathRevolution wrote: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 B. 70,000 C. 14,000 D. 22,000 E. 220,000 We can apply the rule that says: √xy = (√x)(√y) √{(4.8)(10^9)} = √{(4.8)(10^1)(10^8)} = √{(48)(10^8)} = (√48)(√10^8) [applied rule from above] = (7)(10^4) = (7)(10,000) = 70,000 Answer: B For more on the rule √xy = (√x)(√y), see this free video: https://www.gmatprepnow.com/module/gmat ... video/1037 _________________ Test confidently with gmatprepnow.com Intern Joined: 18 Jul 2015 Posts: 18 GMAT 1: 530 Q43 V20 WE: Analyst (Consumer Products) √{(4.8)(10^9)} is closest to which of the following? A. 7,000 [#permalink] ### Show Tags 25 Mar 2016, 22:19 $$\sqrt{{(4.8)(10^9)}}$$ $$\sqrt{{(48/10)(10^9)}}$$ $$\sqrt{{(48)(10^8)}}$$ $$\sqrt{{(4 * 12)(10^8)}}$$ Apply the square root: $$(2 * 2\sqrt{3})(10^4)$$ Now, $$\sqrt{3}$$ = 1.73 Therefore, $$2 * 2 * 1.73 * 10^4$$ = 69200 ~ 70,000 Answer: B Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6661 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 [#permalink] ### Show Tags 27 Mar 2016, 00:39 √{(4.8)(10^9)} is closest to which of the following? A. 7,000 B. 70,000 C. 14,000 D. 22,000 E. 220,000 -> √{(4.8)(10^9)}=√{(48)(10^8)}=√{(49)(10^8)}=√{(7^2)(10^4)}^2 =(7)(10^4)=70,000. Therefore, the answer is B. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Math Revolution GMAT Instructor
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GPA: 3.82
Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000  [#permalink]

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28 Mar 2016, 03:53
√{(4.8)(10^9)} is closest to which of the following?

A. 7,000
B. 70,000
C. 14,000
D. 22,000
E. 220,000

-> √{(4.8)(10^9)}=√{(48)(10^8)}=√{(49)(10^8)}=√{(7^2)(10^4)^2}=(7)(10^4)=70,000
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Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000  [#permalink]

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24 Oct 2017, 05:08
MathRevolution wrote:
√{(4.8)(10^9)} is closest to which of the following?

A. 7,000
B. 70,000
C. 14,000
D. 22,000
E. 220,000

First, notice that in order to easily take the square root, we want to re-express 4.8 x 10^9 as 48 x 10^8. Now we have:

√{(4.8)(10^9)} = √{(48)(10^8)} = √48 x √10^8 ≈ √49 x √10^8 = 7 x 10^4 = 70,000

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Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000  [#permalink]

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11 Nov 2018, 23:22
MathRevolution wrote:
√{(4.8)(10^9)} is closest to which of the following?

A. 7,000
B. 70,000
C. 14,000
D. 22,000
E. 220,000

* A solution will be posted in two days.

√{(4.8)(10^9)} ~ √{(4.9)(10^9)}
= √{(49)(10^8)}
= (7)(10^4)
= 70,000

_________________

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Re: √{(4.8)(10^9)} is closest to which of the following? A. 7,000 &nbs [#permalink] 11 Nov 2018, 23:22
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