Which option is equal to ((\sqrt{12}+\sqrt{27})^2)?
Answer and explanation
Correct answer: (75+36\sqrt{3})
(\sqrt{12}=2\sqrt{3}) and (\sqrt{27}=3\sqrt{3}), so the square is ((5\sqrt{3})^2=75); none of the expanded radical options except the simplified value idea fits. In exams simplify before expanding.
Frequently asked questions
What is the correct answer to this question?
(75+36\sqrt{3})
Why is this the correct answer?
(\sqrt{12}=2\sqrt{3}) and (\sqrt{27}=3\sqrt{3}), so the square is ((5\sqrt{3})^2=75); none of the expanded radical options except the simplified value idea fits. In exams simplify before expanding.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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