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If (x=\frac{\sqrt{3}}{\sqrt{2}}), which statement about (x^2) and (x) is correct?
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Answer and explanation
Correct answer: (x) is irrational and (x^2) is rational
Step 1: (x=\sqrt{\frac{3}{2}}), which is irrational because (\frac{3}{2}) is not a perfect square of a rational number. Step 2: (x^2=\frac{3}{2}), which is rational. Step 3: The square of an irrational number can sometimes be rational.
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What is the correct answer to this question?
(x) is irrational and (x^2) is rational
Why is this the correct answer?
Step 1: (x=\sqrt{\frac{3}{2}}), which is irrational because (\frac{3}{2}) is not a perfect square of a rational number. Step 2: (x^2=\frac{3}{2}), which is rational. Step 3: The square of an irrational number can sometimes be rational.
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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