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What is the value of \(2\sqrt{3}\times 3\sqrt{3}\)?
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Answer and explanation
Correct answer: \(18\)
Multiply the coefficients and the surd parts separately: \(2\times 3\times \sqrt{3}\times\sqrt{3}=6\times 3=18\), since \(\sqrt{3}\times\sqrt{3}=3\). Therefore, \(18\) is correct. Exam tip: \(\sqrt{a}\times\sqrt{a}=a\) for \(a\geq 0\).
Frequently asked questions
What is the correct answer to this question?
\(18\)
Why is this the correct answer?
Multiply the coefficients and the surd parts separately: \(2\times 3\times \sqrt{3}\times\sqrt{3}=6\times 3=18\), since \(\sqrt{3}\times\sqrt{3}=3\). Therefore, \(18\) is correct. Exam tip: \(\sqrt{a}\times\sqrt{a}=a\) for \(a\geq 0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Real Numbers.
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