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Difficulty:
15%
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Question Stats:
81% (01:05) correct
19%
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wrong
based on 705
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The value of \(\sqrt{2^5 * 3^2 * 5^2}\) is between which of the following pairs of numbers?
A. 0 and 100
B. 100 and 200
C. 200 and 300
D. 300 and 400
E. 400 and 500
A. 0 and 100
B. 100 and 200
C. 200 and 300
D. 300 and 400
E. 400 and 500
11 Mar 2011, 12:25
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tonebeeze
The value of \(\sqrt{2^5 * 3^2 * 5^2}\) is between which of the following pairs of numbers?
a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500
a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500
\(\sqrt{2^5 * 3^2 * 5^2}\) = \(\sqrt{2^4*2 * 3^2 * 5^2}\)
This reduces to \(2^2*3*5* \sqrt{2}\) = 60*1.414 \(\approx\) 96 so answer should be A
11 Mar 2011, 13:31
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beyondgmatscore
tonebeeze
The value of \(\sqrt{2^5 * 3^2 * 5^2}\) is between which of the following pairs of numbers?
a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500
a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500
\(\sqrt{2^5 * 3^2 * 5^2}\) = \(\sqrt{2^4*2 * 3^2 * 5^2}\)
This reduces to \(2^2*3*5* \sqrt{2}\) = 60*1.414 \(\approx\) 96 so answer should be A
Agree!!! Just the 60*1.4 < 60*1.5 = 60*3/2 = 90.
