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The number 3 + √(2) is : (Class 10 Maths Basic 2026, Q2)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 2

Set in the CBSE Class 10 board exam of 2026, paper 430/1/1, section A, question 2, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q2 · 1 mark · MCQReal Numbers

The number is :

  1. (A)a rational number
  2. (B)an irrational number
  3. (C)an integer
  4. (D)a natural number

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Is rational or irrational?

Hint 2

Think about what happens when you add a rational number to an irrational number.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. is irrational. If were rational, then would also be rational, which is false.

  2. So is an irrational number. The answer is option (B).

    1 mark

Answer: An irrational number, option (B)

Where the marks are

  • Identifies as irrational (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Real Numbers, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/1/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.