If (\sqrt{b}) is irrational, which result will necessarily be rational?
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Answer and explanation
Correct answer: ((\sqrt{b})^2)
Step 1: Squaring a square root gives the number inside. Step 2: ((\sqrt{b})^2=b), and if (b) is an integer, it is rational. Step 3: The square of an irrational square root can give a rational result.
Frequently asked questions
What is the correct answer to this question?
((\sqrt{b})^2)
Why is this the correct answer?
Step 1: Squaring a square root gives the number inside. Step 2: ((\sqrt{b})^2=b), and if (b) is an integer, it is rational. Step 3: The square of an irrational square root can give a rational result.
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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