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

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

by Max@Math Revolution » Thu Mar 24, 2016 4:01 pm
√{(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.
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by Brent@GMATPrepNow » Fri Mar 25, 2016 7:15 am
Max@Math Revolution 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
Brent Hanneson - Creator of GMATPrepNow.com
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by Max@Math Revolution » Sun Mar 27, 2016 12:39 am
√{(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.
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by Max@Math Revolution » Mon Mar 28, 2016 3:53 am
√{(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
Thus, the answer is B.
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