√ 10 × √ 15 is Equal to - Mathematics

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MCQ

\[\sqrt{10} \times \sqrt{15}\] 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`

Concept: Operations on Real Numbers
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.4 | Q 1 | Page 16

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