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If (x=\sqrt{5}-\sqrt{2}), what is (x^2)?
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Answer and explanation
Correct answer: (7-2\sqrt{10})
Step 1: Use ((a-b)^2=a^2-2ab+b^2). Step 2: (x^2=5-2\sqrt{10}+2=7-2\sqrt{10}). Step 3: Do not forget the negative sign in the middle term when squaring a difference.
Frequently asked questions
What is the correct answer to this question?
(7-2\sqrt{10})
Why is this the correct answer?
Step 1: Use ((a-b)^2=a^2-2ab+b^2). Step 2: (x^2=5-2\sqrt{10}+2=7-2\sqrt{10}). Step 3: Do not forget the negative sign in the middle term when squaring a difference.
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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