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Given that {2} is irrational, prove that (5+3{2}) is an irrati
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Given that is irrational, prove that is an irrational number.

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Updated on: Feb 28, 2024

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Class 10th Board 2018

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Given that is irrational, prove that is an irrational number.
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Let us assume is a rational number.

where and and are co-prime numbers.

is a rational number as RHS is rational
This contradicts the given fact that is irrational.
Hence is an irrational number.
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Question Text
Given that is irrational, prove that is an irrational number.
Updated OnFeb 28, 2024
TopicReal Numbers
SubjectMathematics
ClassClass 10
Answer TypeText solution:1 Video solution: 39
Upvotes4087
Avg. Video Duration5 min