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What is the value of \(\left(\sqrt{11}-\sqrt{2}\right)\left(\sqrt{11}+\sqrt{2}\right)\)?
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Answer and explanation
Correct answer: \(9\)
Step 1: This is of the form \((a-b)(a+b)=a^2-b^2\). Step 2: \((\sqrt{11})^2-(\sqrt{2})^2=11-2=9\). Step 3: In conjugate multiplication, directly use the difference of squares.
Frequently asked questions
What is the correct answer to this question?
\(9\)
Why is this the correct answer?
Step 1: This is of the form \((a-b)(a+b)=a^2-b^2\). Step 2: \((\sqrt{11})^2-(\sqrt{2})^2=11-2=9\). Step 3: In conjugate multiplication, directly use the difference of squares.
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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