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प्रश्न
State whether the given statement is true or false:
1 .The product of two irrationals is an irrational .
उत्तर
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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संबंधित प्रश्न
Show how `sqrt5` can be represented on the number line.
Define an irrational number ?
Give an example of two irrational numbers whose:
product is an rational number.
Prove that of the numbers `2 -3 sqrt(5)` is irrational:
State whether the given statement is true or false:
1 .The sum of two irrationals is an irrational
Write a pair of irrational numbers whose difference is rational.
`sqrt(2)/3` is a rational number.
Find whether the variable y represents a rational or an irrational number:
y2 = 9
Insert a rational number and an irrational number between the following:
`(-2)/5` and `1/2`
Prove that `(2-sqrt3)/5` is an irrational number, given that `sqrt 3` is an irrational number.
