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What is the value of \(\left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)\)?
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Answer and explanation
Correct answer: \(1\)
Step 1: This is of the form \((a+b)(a-b)=a^2-b^2\). Step 2: \(2^2-(\sqrt{3})^2=4-3=1\). Step 3: For conjugate products, difference of squares gives the answer quickly.
Frequently asked questions
What is the correct answer to this question?
\(1\)
Why is this the correct answer?
Step 1: This is of the form \((a+b)(a-b)=a^2-b^2\). Step 2: \(2^2-(\sqrt{3})^2=4-3=1\). Step 3: For conjugate products, difference of squares gives the answer quickly.
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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