What is the value of (\sqrt{3}\times\sqrt{12})?
Answer and explanation
Correct answer: 6
\(\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6\). Hence, the correct answer is 6. \(\sqrt{15}\) would result only if the product of the numbers under the radicals were 15, which is not the case here. Exam tip: for positive numbers, use \(\sqrt{a}\times\sqrt{b}=\sqrt{ab}\).
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
\(\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6\). Hence, the correct answer is 6. \(\sqrt{15}\) would result only if the product of the numbers under the radicals were 15, which is not the case here. Exam tip: for positive numbers, use \(\sqrt{a}\times\sqrt{b}=\sqrt{ab}\).
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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