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CBSE Class 10 Basic Math 2025 All Sets Solved Paper

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Question : 18 of 20
Marks: +1, -0
2(2−1)\sqrt{2}(\sqrt{2} - 1) is
Solution:  
2(2−1)\sqrt{2}(\sqrt{2}-1)
=2×2−2×1= \sqrt{2} \times \sqrt{2} - \sqrt{2} \times 1
=2−2= 2 - \sqrt{2}
Therefore, 2\sqrt{2} is irrational number
Thus, 2−22 - \sqrt{2} is an irrational number
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