The operation denoted by the symbol £ is defined for all real numbers

Question

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

pushpitkc · Answer

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)

PKN · Answer

3£ (2£4 )=3£(2* \sqrt{4} )=3£(2*2)=3£4= 3\sqrt{4} =3*2=6

Ans. (C)

EgmatQuantExpert · Answer

Solution 
  Given:  
 • £ is an operation defined for all real numbers as a£b =  a√b

To find:  
 • The value of 3£(2£4)

Approach and Working:   
 • 3£(2£4) = 3£( 2√4 ) = 3£(2 x 2) = 3£4 =  3√4  = 6

Hence, the correct answer is option C.

Answer: C

ScottTargetTestPrep · Answer

We work from the “inside out,” so we will first evaluate 2£4 and use that value to finish the problem.

2£4 = 2√4 = 2 x 2 = 4

3£4 = 3√4 = 3 x 2 = 6

Answer: C

BrushMyQuant · Answer

Given that a £ b =  a\sqrt{b}  and we need to find the value of 3 £(2£4)

Lets start by finding the value of 2£4

To find 2£4 we need to compare what is before and after £ in 2£4 and a£b

=> We need to substitute a with 2 and b with 4 in a £ b to get the value of 2£4

=> 2 £ 4 =  2\sqrt{4}  = 2*2 = 4

=> 3 £(2£4) = 3£4

Similarly, 3 £ 4 =  3\sqrt{4}  = 3*2 = 6

So,  Answer will be C 
Hope it helps!

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https://www.youtube.com/watch?v=b7JoMX0gk8M

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