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(2 - 5√(3))² is (Class 10 Maths Basic 2025, Q1)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2025: question 1

Set in the CBSE Class 10 board exam of 2025, paper 430/5/1, section A, question 1, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q1 · 1 mark · MCQReal Numbers

is

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/5/1.

Hints

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

Hint 1

Use .

Hint 2

Check whether the term cancels out.

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. .

  2. A rational number minus a non-zero rational multiple of is irrational, so the value is an irrational number. Option (B).

    1 mark

Answer: An irrational number, option (B)

Where the marks are

  • Expands to and identifies it 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 paper2025 board paper, set 430/5/1 (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.