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Question
\[\sqrt{10} \times \sqrt{15}\] is equal to
Options
5\[\sqrt{6}\]
6\[\sqrt{5}\]
\[\sqrt{30}\]
\[\sqrt{25}\]
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Solution
Given that`sqrt10 xx sqrt15`, it can be simplified as
`sqrt10 xx sqrt15 = sqrt(10 xx 15)`
` = sqrt150`
` = sqrt(25 xx 6)`
`= sqrt25 xx sqrt6`
` = 5sqrt6`
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Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = `c/d`. This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
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`
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