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Class 10MathematicsReal NumbersIrrational numbersHardLevel 15
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If (x=\sqrt{7}), what is the nature of (3x-2)?

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Answer and explanation

Correct answer: Irrational

Step 1: (3x-2=3\sqrt{7}-2). Step 2: (3\sqrt{7}) is irrational, and subtracting a rational number keeps it irrational. Step 3: A non-zero rational multiple of a surd remains irrational.

Related tags

Linear ExpressionIrrational NumbersClass 10

Frequently asked questions

What is the correct answer to this question?

Irrational

Why is this the correct answer?

Step 1: (3x-2=3\sqrt{7}-2). Step 2: (3\sqrt{7}) is irrational, and subtracting a rational number keeps it irrational. Step 3: A non-zero rational multiple of a surd remains irrational.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.

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10 more MCQs
  1. 1Which of the following numbers is irrational?
  2. 2Which of the following numbers is rational?
  3. 3What type of number is (\sqrt{16})?
  4. 4Which statement about (\sqrt{10}) is correct?
  5. 5Which of the following is an example of an irrational number?
  6. 6Which decimal form represents an irrational number?
  7. 7What type of number is (0.3333\ldots)?
  8. 8Which statement is correct about (0.101001000100001\ldots)?
  9. 9If (a) is a non-zero rational number and (b) is an irrational number, what type of number is (ab) generally?
  10. 10What type of number is (\sqrt{2}+3)?
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