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State Whether the Given Statement is True Or False: 1 .The Product of Two Irrationals is an Irrational - Mathematics

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Question

State whether the given statement is true or false:

 1 .The product of two irrationals is an irrational .

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Solution

The product of two irrationals is an irrational – False
Counter example:
`2 sqrt(3) and 4 sqrt(3)` are two irrational numbers. But their product is 24, which is a rational number.

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Chapter 1: Real Numbers - Exercises 4

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercises 4 | Q 6.4
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