Advertisements
Advertisements
प्रश्न
Prove that of the numbers `3 sqrt(7)` is irrational:
उत्तर
Let `3 sqrt(7)` be rational.
`1/3 ×3 sqrt(7)= sqrt(7)` = rational [∵Product of two rational is rational]
This contradicts the fact that `sqrt(7)` is irrational.
The contradiction arises by assuming `3 sqrt(7)` is rational.
Hence, `3 sqrt(7)` is irrational.
APPEARS IN
संबंधित प्रश्न
Show how `sqrt5` can be represented on the number line.
Classify the numbers 1.535335333 as rational or irrational:
Classify the numbers 3.121221222 as rational or irrational:
Prove that of the numbers `3 + sqrt (2)` is irrational:
State whether the following number is rational or irrational
`(2 + sqrt(2))(2 - sqrt(2))`
Without using division method show that `sqrt(7)` is an irrational numbers.
Which of the following is irrational?
Classify the following number as rational or irrational with justification:
`sqrt(9/27)`
Classify the following number as rational or irrational with justification:
0.5918
Insert a rational number and an irrational number between the following:
0.15 and 0.16
