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content/exercises/graded-assignments/mathematics-1/W1GA1.md

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## 1. Multiple Choice Questions (MSQ)
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### 1. Multiple Choice Questions (MSQ) 🧠
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**Question 1:**
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Which of the following are irrational numbers?
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<br/>
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(a) $3^{1/3}$
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{{< border >}}
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**Q1**. Which of the following are irrational numbers❓
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(b) $(\sqrt{8}+\sqrt{2})(\sqrt{12}-\sqrt{3})$
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**(a)** $3^{1/3}$
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(c) $\frac{\sqrt{18}-3}{\sqrt{2}-1}$
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**(b)** $(\sqrt{8}+\sqrt{2})(\sqrt{12}-\sqrt{3})$
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(d) $\frac{\sqrt{8}+\sqrt{2}}{\sqrt{8}-\sqrt{2}}$
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**(c)** $\frac{\sqrt{18}-3}{\sqrt{2}-1}$
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**Solution:**
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**(d)** $\frac{\sqrt{8}+\sqrt{2}}{\sqrt{8}-\sqrt{2}}$
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{{< /border >}}
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{{< border >}}
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**Solution:**
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(a) $3^{1/3}$ is irrational as it cannot be written as a fraction $p/q$ with $p, q \in \mathbb{Z}, q \neq 0$.
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(d) $\frac{\sqrt{8}+\sqrt{2}}{\sqrt{8}-\sqrt{2}} = \frac{3\sqrt{2}}{\sqrt{2}} = 3$ (rational).
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**Answer:** (a), (b)
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**Answer:** ✅ (a), (b)
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---
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## 2. Examples and Additional Solutions
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{{< border title="Answer" >}}
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$$
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(x-10) + (10+x) + (5+x) + (55-x) + (50-x) + x + (40-x) = 180
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$$

layouts/shortcodes/border.html

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.border-card-content{
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overflow-x: scroll;
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overflow-y: hidden;
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}
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p{

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