Ques. show that 3√2 is rrational no.
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Hiii friend,
If possible let 3✓2 is a rational Number.
3 is RATIONAL and ✓2 is irrational.
1/3 × 3✓2
=> ✓2 is rational [ Product of rational and rational is rational]
But this contradicts the fact that ✓2 is rational.
This contradiction arises by assuming that 3✓2 is RATIONAL .
Hence,
3✓2 is irrational Number.
HOPE IT WILL HELP YOU...... :-)
If possible let 3✓2 is a rational Number.
3 is RATIONAL and ✓2 is irrational.
1/3 × 3✓2
=> ✓2 is rational [ Product of rational and rational is rational]
But this contradicts the fact that ✓2 is rational.
This contradiction arises by assuming that 3✓2 is RATIONAL .
Hence,
3✓2 is irrational Number.
HOPE IT WILL HELP YOU...... :-)
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