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		<title>NCERT Solutions Class 10 Maths Chapter 1 Real Numbers on Padhaiwise</title>
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				<title>NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1</title>
				<link>https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/1-real-numbers/exercise-1.1/</link>
				<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
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				<description>&lt;h1 id=&#34;ncert-solutions-for-class-10-maths-chapter-1-real-numbers-exercise-11&#34;&gt;NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1&lt;a class=&#34;anchor&#34; href=&#34;#ncert-solutions-for-class-10-maths-chapter-1-real-numbers-exercise-11&#34;&gt;#&lt;/a&gt;&lt;/h1&gt;&#xA;&lt;p&gt;Welcome to our comprehensive NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1. This exercise introduces fundamental concepts of real numbers including prime factorization, Least Common Multiple (LCM), Highest Common Factor (HCF), and composite numbers. Our expert teachers have prepared detailed, step-by-step solutions to help CBSE Class 10 students understand every concept clearly and score full marks in their board exams.&lt;/p&gt;</description>
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				<title>NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2</title>
				<link>https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/1-real-numbers/exercise-1.2/</link>
				<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
				<guid>https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/1-real-numbers/exercise-1.2/</guid>
				<description>&lt;h1 id=&#34;ncert-solutions-for-class-10-maths-chapter-1-real-numbers-exercise-12&#34;&gt;NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2&lt;a class=&#34;anchor&#34; href=&#34;#ncert-solutions-for-class-10-maths-chapter-1-real-numbers-exercise-12&#34;&gt;#&lt;/a&gt;&lt;/h1&gt;&#xA;&lt;p&gt;Welcome to our NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2. This exercise asks students to prove that numbers such as $\sqrt{5}$, $3 &amp;#43; 2\sqrt{5}$, $\dfrac{1}{\sqrt{2}}$, $7\sqrt{5}$ and $6 &amp;#43; \sqrt{2}$ are irrational, using the method of proof by contradiction.&lt;/p&gt;&#xA;&lt;blockquote class=&#39;book-hint info&#39;&gt;&#xA;&lt;p&gt;&lt;strong&gt;Theorem 1.2:&lt;/strong&gt; Let $p$ be a prime number. If $p$ divides $a^2$, then $p$ divides $a$, where $a$ is a positive integer.&lt;/p&gt;</description>
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