35/ 3⬚
 +2*0+(√√36)
 2
 −2
 3
 4
 +(1+0−5)3 

Let's break down the expression step by step.

The expression is:

\[
\frac{35}{3⬚} + 2 \times 0 + \left(\sqrt{\sqrt{36}}\right) 2 - 2 \times 3 \times 4 + (1 + 0 - 5) \times 3
\]

### 1. First Part: \( \frac{35}{3⬚} \)
The symbol "⬚" could represent an unknown number. Let's denote this as \( x \). So this term becomes \( \frac{35}{3x} \).

### 2. Second Part: \( 2 \times 0 \)
This equals 0.

### 3. Third Part: \( \left(\sqrt{\sqrt{36}}\right) \times 2 \)
First, find the square root of 36:
\[
\sqrt{36} = 6
\]
Then, find the square root of 6:
\[
\sqrt{6}
\]
This is an irrational number, approximately \( \sqrt{6} \approx 2.44949 \).
Multiply by 2:
\[
\approx 2 \times 2.44949 = 4.89898
\]

### 4. Fourth Part: \( -2 \times 3 \times 4 \)
Multiply the numbers:
\[
-2 \times 3 = -6
\]
\[
-6 \times 4 = -24
\]

### 5. Fifth Part: \( (1 + 0 - 5) \times 3 \)
First, simplify inside the parentheses:
\[
1 + 0 - 5 = -4
\]
Then multiply by 3:
\[
-4 \times 3 = -12
\]

### Complete Expression:
Now, let's put it all together:
\[
\frac{35}{3x} + 0 + 4.89898 - 24 - 12
\]
\[
\frac{35}{3x} - 31.10102
\]

This is the simplified form of the expression.

### Summary:
\[
\frac{35}{3x} - 31.10102
\]

Would you like more details or have any questions?

**Relative Questions:**
1. What happens if \( x = 1 \) in the expression \( \frac{35}{3x} - 31.10102 \)?
2. How does changing the value of \( x \) affect the overall expression?
3. Can you express \( \sqrt{6} \) in its simplest radical form?
4. What is the significance of the zero terms in the expression?
5. How would the expression change if we replaced \( \sqrt{6} \) with an approximate decimal?

**Tip:** When simplifying complex expressions, always start with the innermost operations and work outward.

Explore the step-by-step solution to the complex arithmetic and algebraic expression: 35/3⬚ + 2*0 + (√√36)*2 - 2*3*4 + (1 + 0 - 5)*3. Learn arithmetic operations, algebraic simplification, and square root calculations. Suitable for Grades 9-12.

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