File tree Expand file tree Collapse file tree
content/exercises/graded-assignments/mathematics-1 Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -7,20 +7,24 @@ excludeSearch: false
77width : wide
88---
99
10- ## 1. Multiple Choice Questions (MSQ)
10+ ### 1. Multiple Choice Questions (MSQ) 🧠
1111
12- ** Question 1:**
13- Which of the following are irrational numbers?
12+ <br />
1413
15- (a) $3^{1/3}$
14+ {{< border >}}
15+ ** Q1** . Which of the following are irrational numbers❓
1616
17- (b) $(\sqrt{8}+\sqrt{2})(\sqrt{12}-\sqrt{3}) $
17+ ** (a) ** $3^{1/3} $
1818
19- (c) $\frac{ \sqrt{18}-3}{ \sqrt{2}-1} $
19+ ** (b) ** $(\sqrt{8}+ \sqrt{2})( \sqrt{12}-\sqrt{3}) $
2020
21- (d) $\frac{\sqrt{8}+\sqrt{2}} {\sqrt{8}-\sqrt{2} }$
21+ ** (c) ** $\frac{\sqrt{18}-3} {\sqrt{2}-1 }$
2222
23- ** Solution:**
23+ ** (d)** $\frac{\sqrt{8}+\sqrt{2}}{\sqrt{8}-\sqrt{2}}$
24+ {{< /border >}}
25+
26+ {{< border >}}
27+ ✅ ** Solution:**
2428
2529(a) $3^{1/3}$ is irrational as it cannot be written as a fraction $p/q$ with $p, q \in \mathbb{Z}, q \neq 0$.
2630
@@ -30,9 +34,9 @@ Which of the following are irrational numbers?
3034
3135(d) $\frac{\sqrt{8}+\sqrt{2}}{\sqrt{8}-\sqrt{2}} = \frac{3\sqrt{2}}{\sqrt{2}} = 3$ (rational).
3236
33- ** Answer:** (a), (b)
37+ ** Answer:** ✅ (a), (b)
38+ {{< /border >}}
3439
35- ---
3640
3741## 2. Examples and Additional Solutions
3842
@@ -87,6 +91,7 @@ Let $x$ be the number who watched all three movies.
8791{{< /border >}}
8892
8993{{< border title="Answer" >}}
94+
9095$$
9196(x-10) + (10+x) + (5+x) + (55-x) + (50-x) + x + (40-x) = 180
9297$$
Original file line number Diff line number Diff line change @@ -32,6 +32,7 @@ <h3 class="header-title">{{ $title }}</h3>
3232
3333 .border-card-content {
3434 overflow-x : scroll;
35+ overflow-y : hidden;
3536 }
3637
3738 p {
You can’t perform that action at this time.
0 commit comments