Show That 2 − √3 Is an Irrational Number Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Show that the number 2 − √3 is irrational. Step 1: Assume the Contrary Assume that 2 − √3 is rational. Then it can be written in the form: 2 […]
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Prove That 5√2 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Prove that the number 5√2 is irrational. Step 1: Assume the Contrary Assume that 5√2 is rational. Then it can be written in the form: 5√2 = p/q, where p and q are integers
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Prove That 4 + √2 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Prove that the number 4 + √2 is irrational. Step 1: Assume the Contrary Assume that 4 + √2 is rational. Then it can be written in the form: 4 + √2
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Prove That 3/2√5 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Prove that the number 3/2√5 is irrational. Step 1: Assume the Contrary Assume that 3/2√5 is rational. Then it can be written in the form: 3/2√5 = p/q, where p and q are integers
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Prove That 2/√7 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Prove that the number 2/√7 is irrational. Step 1: Assume the Contrary Assume that 2/√7 is rational. Then it can be written as a fraction of two integers in lowest terms: 2/√7 = p/q,
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Show That 3−√5 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Show that the number 3−√5 is irrational. Step 1: Assume the Contrary Assume that 3−√5 is rational. Then it can be written as a fraction of two integers in lowest terms: 3−√5 = p/q,
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Show That 6+√2 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Show that the number 6+√2 is irrational. Step 1: Assume the Contrary Assume that 6+√2 is rational. Then it can be written as a fraction of two integers in lowest terms: 6+√2 = p/q,
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Show That 7√5 Is Irrational Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Show that the number 7√5 is irrational. Step 1: Assume the Contrary Assume that 7√5 is rational. Then it can be written as a fraction of two integers in lowest terms: 7√5 = p/q,
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Show That \( \dfrac{1}{\sqrt{2}} \) Is Irrational Video Explanation Question Show that \[ \dfrac{1}{\sqrt{2}} \] is an irrational number. Solution Step 1: Assume the Contrary Assume that \[ \dfrac{1}{\sqrt{2}} \] is a rational number. Step 2: Use Property of Rational Numbers If a number is rational, then its reciprocal is also rational (provided it is
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Show That the Following Numbers Are Irrational Video Explanation Question Show that the following numbers are irrational: (i) \( \dfrac{1}{\sqrt{2}} \) (ii) \( 7\sqrt{5} \) (iii) \( 6 + \sqrt{2} \) (iv) \( 3 – \sqrt{5} \) Solution (i) \( \dfrac{1}{\sqrt{2}} \) We know that \( \sqrt{2} \) is irrational. If \( \dfrac{1}{\sqrt{2}} \) were