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If (x=\sqrt{3}+2), what will be the value and nature of (x-\sqrt{3})?
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Answer and explanation
Correct answer: (2), rational
Step 1: Substitute the given value of (x). Step 2: (x-\sqrt{3}=(\sqrt{3}+2)-\sqrt{3}=2), which is rational. Step 3: Like irrational terms may cancel, so decide the nature only after simplifying.
Frequently asked questions
What is the correct answer to this question?
(2), rational
Why is this the correct answer?
Step 1: Substitute the given value of (x). Step 2: (x-\sqrt{3}=(\sqrt{3}+2)-\sqrt{3}=2), which is rational. Step 3: Like irrational terms may cancel, so decide the nature only after simplifying.
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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