Given the list of numbers $$ -7,7 ; 5 ; \sqrt{-6} ; 8 ; \sqrt{35} ; 36 ; \frac{71}{3} $$; write down: a) a prime number b) an irrational number c) a factor of 32 d) a square number e) an unreal number.

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Let's analyze each part based on the given list of numbers: $$-7$$, $$7$$, $$5$$, $$\sqrt{-6}$$, $$8$$, $$\sqrt{35}$$, $$36$$, $$\frac{71}{3}$$.

### a) A Prime Number
**Answer:** $$5$$

**Explanation:** Among the integers listed, $$5$$ and $$7$$ are prime numbers. $$5$$ is chosen here as an example.

### b) An Irrational Number
**Answer:** $$\sqrt{35}$$

**Explanation:** $$\sqrt{35}$$ cannot be expressed as a fraction of two integers, making it an irrational number.

### c) A Factor of 32
**Answer:** $$8$$

**Explanation:** The factors of $$32$$ are $$1, 2, 4, 8, 16,$$ and $$32$$. Among the given numbers, $$8$$ is a factor of $$32$$.

### d) A Square Number
**Answer:** $$36$$

**Explanation:** $$36$$ is a perfect square since $$6 	imes 6 = 36$$.

### e) An Unreal (Imaginary) Number
**Answer:** $$\sqrt{-6}$$

**Explanation:** $$\sqrt{-6}$$ involves the square root of a negative number, which is not a real number. It is considered an imaginary or "unreal" number.

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**Summary of Answers:**
a) $$5$$  
b) $$\sqrt{35}$$  
c) $$8$$  
d) $$36$$  
e) $$\sqrt{-6}$$
a) 5 b) √35 c) 8 d) 36 e) √-6

Given the list of numbers \( -7,7 ; 5 ; \sqrt{-6} ; 8 ; \sqrt{35} ; 36 ; \frac{71}{3} \); write down: a) a prime number b) an irrational number c) a factor of 32 d) a square number e) an unreal number.

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