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The number (5 - 3√(5) +… (Class 10 Maths Basic 2023, Q4)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2023: question 4

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section A, question 4, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q4 · 1 mark · MCQReal Numbers

The number is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

Hints

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

Hint 1

First combine the like surd terms.

Hint 2

Is rational? What happens when you subtract an irrational number from a rational one?

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. Simplify: .

  2. is irrational, and a rational number minus an irrational number is irrational. So the number is irrational, option (C).

    1 mark

Answer: An irrational number, option (C)

Where the marks are

  • Simplifies to and concludes it is 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 paper2023 board paper, set 430/4/1 (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.