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Subjects
Class 10MathematicsReal NumbersIrrational numbersHardLevel 15

If (0<x<1) and (x) is irrational, which example is suitable?

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Answer and explanation

Correct answer: (\frac{\sqrt{2}}{2})

Step 1: (\sqrt{2}) is irrational, and dividing by non-zero rational (2) keeps it irrational. Step 2: (\frac{\sqrt{2}}{2}) is about (0.707), so it lies between (0) and (1). Step 3: Check both the interval condition and the nature of the number.

Tags

irrational between zero and oneclass 10number line

Frequently asked questions

What is the correct answer to this question?

(\frac{\sqrt{2}}{2})

Why is this the correct answer?

Step 1: (\sqrt{2}) is irrational, and dividing by non-zero rational (2) keeps it irrational. Step 2: (\frac{\sqrt{2}}{2}) is about (0.707), so it lies between (0) and (1). Step 3: Check both the interval condition and the nature of the number.

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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