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05 Jul 2018, 04:55
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Difficulty:
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89% (00:46) correct
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The operation denoted by the symbol £ is defined for all real numbers a and b as \(a£b = a\sqrt{b}\). What is the value of 3£(2£4)?
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
05 Jul 2018, 05:37
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Bunuel
The operation denoted by the symbol £ is defined for all real numbers a and b as \(a£b = a\sqrt{b}\). What is the value of 3£(2£4)?
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
We know that \(a£b = a\sqrt{b}\).
We have been asked to find the value of 3£(2£4)
Step 1: Find the value of (2£4) | \(2£4 = 2\sqrt{4} = 4\)
Step 2: Find the value of 3£(4) | \(3£4 = 3\sqrt{4} = 3*2 = 6\)
Therefore, the value of 3£(2£4) is \(6\)(Option C)
05 Jul 2018, 15:12
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Bunuel
The operation denoted by the symbol £ is defined for all real numbers a and b as \(a£b = a\sqrt{b}\). What is the value of 3£(2£4)?
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
A. \(\frac{1}{4}\)
B. \(4\)
C. \(6\)
D. \(6\sqrt{2}\)
E. \(12\)
3£(2£4)=3£(2*\(\sqrt{4}\))=3£(2*2)=3£4=\(3\sqrt{4}\)=3*2=6
Ans. (C)
