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What is the value of (2 \sqrt2) ( \sqrt6) + 2 \sqrt3?
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02 Mar 2019, 11:09
02 Mar 2019, 11:09
Expert Reply
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Question Stats:
87% (00:46) correct
12% (01:32) wrong based on 48 sessions
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What is the value of \((2 \sqrt{2}) ( \sqrt{6}) + 2 \sqrt{3}\)?
A. \(18\)
B. \(10 \sqrt{3}\)
C. \(6 \sqrt{6}\)
D. \(4 \sqrt{2} + 2 \sqrt{3}\)
E. \(6 \sqrt{3}\)
A. \(18\)
B. \(10 \sqrt{3}\)
C. \(6 \sqrt{6}\)
D. \(4 \sqrt{2} + 2 \sqrt{3}\)
E. \(6 \sqrt{3}\)
Re: What is the value of (2 \sqrt2) ( \sqrt6) + 2 \sqrt3?
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10 Mar 2019, 10:51
10 Mar 2019, 10:51
Expert Reply
To solve this, we have to know the laws of exponents. Knowing those makes questions like these basically free points.
First:
\(\sqrt{6}=\sqrt{3}\times \sqrt{2}\)
So:
\(2\times \sqrt{2}\times \sqrt{3}\times \sqrt{2}+2\sqrt{3}\)
Simplify:
\(2\times 2\times \sqrt{3}+2\sqrt{3}\)
\(4\sqrt{3}+2\sqrt{3}\)
\(6\sqrt{3}\)
First:
\(\sqrt{6}=\sqrt{3}\times \sqrt{2}\)
So:
\(2\times \sqrt{2}\times \sqrt{3}\times \sqrt{2}+2\sqrt{3}\)
Simplify:
\(2\times 2\times \sqrt{3}+2\sqrt{3}\)
\(4\sqrt{3}+2\sqrt{3}\)
\(6\sqrt{3}\)
gmatclubot
Re: What is the value of (2 \sqrt2) ( \sqrt6) + 2 \sqrt3? [#permalink]
10 Mar 2019, 10:51
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