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Give an example of two irrationals whose product is rational.

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Question

Give an example of two irrationals whose product is rational.

Sum
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Solution

Let the two irrationals be `4sqrt(5)` and `3sqrt(5)`

`(4sqrt(5)) xx (3sqrt(5)) = 60`

Thus, product (i.e., 60) is a rational number.

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Chapter 1: Real Numbers - EXERCISE 1E [Page 38]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1E | Q 15. | Page 38
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