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Which of the following products yields an irrational number ?
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01 Sep 2021, 11:42
01 Sep 2021, 11:42
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60% (01:18) correct
39% (01:42) wrong based on 23 sessions
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Which of the following products yields an irrational number ?
Indicate all such products
A. \((4 \sqrt{3})( 5 \sqrt{12})\)
B. \((\frac{1}{2 }\sqrt{10})( 8 \sqrt{5} )\)
C. \((3 \sqrt{32})( 2 \sqrt{2} )\)
D. \((\frac{2}{3} \sqrt{3} )^2\)
E. \((4 \sqrt{3})( 9 \sqrt{6})\)
F. \((\frac{1}{2} \sqrt{8})( \frac{1}{6} \sqrt{18})\)
Indicate all such products
A. \((4 \sqrt{3})( 5 \sqrt{12})\)
B. \((\frac{1}{2 }\sqrt{10})( 8 \sqrt{5} )\)
C. \((3 \sqrt{32})( 2 \sqrt{2} )\)
D. \((\frac{2}{3} \sqrt{3} )^2\)
E. \((4 \sqrt{3})( 9 \sqrt{6})\)
F. \((\frac{1}{2} \sqrt{8})( \frac{1}{6} \sqrt{18})\)
Re: Which of the following products yields an irrational number ?
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02 Sep 2021, 08:21
02 Sep 2021, 08:21
1
A. \((4 \sqrt{3})( 5 \sqrt{12})\) \(= 4\sqrt{3} * 5\sqrt{4*3} = 4\sqrt{3} * 10\sqrt{3} = 40*3 = 120\)
B. \((\frac{1}{2 }\sqrt{10})( 8 \sqrt{5} )\) \(= 4 * 5 * \sqrt{2} = 20\sqrt{2}\)
C. \((3 \sqrt{32})( 2 \sqrt{2} )\) \(= 3\sqrt{16*2} * 2\sqrt{2} = 12\sqrt{2} * 2\sqrt{2} = 48\)
D. \((\frac{2}{3} \sqrt{3} )^2\) = \(\frac{4}{3}\)
E. \((4 \sqrt{3})( 9 \sqrt{6})\) \(= 36 * 3 * \sqrt{2} = 108\sqrt{2}\)
F. \((\frac{1}{2} \sqrt{8})( \frac{1}{6} \sqrt{18})\) = \(1\)
Answer B E
B. \((\frac{1}{2 }\sqrt{10})( 8 \sqrt{5} )\) \(= 4 * 5 * \sqrt{2} = 20\sqrt{2}\)
C. \((3 \sqrt{32})( 2 \sqrt{2} )\) \(= 3\sqrt{16*2} * 2\sqrt{2} = 12\sqrt{2} * 2\sqrt{2} = 48\)
D. \((\frac{2}{3} \sqrt{3} )^2\) = \(\frac{4}{3}\)
E. \((4 \sqrt{3})( 9 \sqrt{6})\) \(= 36 * 3 * \sqrt{2} = 108\sqrt{2}\)
F. \((\frac{1}{2} \sqrt{8})( \frac{1}{6} \sqrt{18})\) = \(1\)
Answer B E
gmatclubot
Re: Which of the following products yields an irrational number ? [#permalink]
02 Sep 2021, 08:21
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