Question

(8) 2√/12 -0,5√√48 +4√27 =

Answer 1

Let's simplify the expression step by step:

1. 2√12: Simplify the square root of 12.

   • √12 = √(4 * 3) = 2√3

2. 0.5√√48: Simplify the square root of the square root of 48.

   • √√48 = √(√(16 * 3)) = √(4√3)
   • 0.5√(4√3) = 2√3

3. 4√27: Simplify the square root of 27.

   • √27 = √(9 * 3) = 3√3

Now, let's put it all together:

2√3 - 2√3 + 4√3

Since all the terms have the same square root part (3√3), you can add them up:

2√3 - 2√3 + 4√3 = 4√3 - 2√3 = 2√3

So, the simplified expression is 2√3.