State in each case whether true or false:
`2sqrt(4)+2=6`

Answer

To determine whether the statement \( 2\sqrt{4} + 2 = 6 \) is true or false, we can follow these steps:

### Step 1: Calculate \( \sqrt{4} \)
The square root of 4 is calculated as follows:
\[ \sqrt{4} = 2 \]

### Step 2: Substitute \( \sqrt{4} \) into the expression
Now we substitute \( \sqrt{4} \) back into the original expression:
\[ 2\sqrt{4} + 2 = 2 \times 2 + 2 \]

### Step 3: Perform the multiplication
Next, we perform the multiplication:
\[ 2 \times 2 = 4 \]

### Step 4: Add the result to 2
Now we add the result from the multiplication to 2:
\[ 4 + 2 = 6 \]

### Step 5: Compare with the right-hand side
Now we compare the left-hand side (LHS) with the right-hand side (RHS):
\[ LHS = 6 \quad \text{and} \quad RHS = 6 \]

Since both sides are equal, we conclude that the statement is true.

### Final Conclusion
The statement \( 2\sqrt{4} + 2 = 6 \) is **True**.

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