Verify by the method of contradiction th...

Verify by the method of contradiction that `sqrt(7)` is irrational.

Text Solution

Verified by Experts

It must in the form of (a/b) where a, b have no common factor
Let `sqrt(7) =a/b`
`⇒7=(a^2)/(b^2)`
`⇒a^2=7b^2`
...

|

Topper's Solved these Questions

MATHEMATICAL INDUCTION
RD SHARMA|Exercise Solved Examples And Exercises|97 Videos
MEASUREMENT OF ANGLES
RD SHARMA|Exercise Solved Examples And Exercises|56 Videos

Similar Questions

Explore conceptually related problems

Verify by the method of contradiction p : sqrt(11) is irrational

Verify by the method of contradiction.p:sqrt(7) is irrational.

Show by the method of contradiction sqrt ( 2) is irrational.

Show that sqrt7 is irrational.

Prove that 5sqrt(7) is irrational.

By using the method of contradiction verify that P: sqrt(5) is irrational.

Show, by the method of contradiction, p : sqrt( 2) is irrational .

Prove that sqrt(11) is irrational.

Prove that 3sqrt(2) is irrational.

Prove that 2/sqrt7 is irrational.,

RD SHARMA-MATHEMATICAL REASONING-Solved Examples And Exercises

Check whether the following statement is true and false by proving its...
03:28
|
Show that the statement: p : If\ x is a real number such that x^3+4x=0...
05:21
|
Show that he following statement is true by the method of contrapos...
02:57
|
Using the words necessary and sufficient rewrite the statement The int...
06:35
|
Verify by the method of contradiction that sqrt(7) is irrational.
06:48
|
Check the validity of the statement given below by contradiction metho...
02:47
|
Evaluate the following limit: (lim)(x->0)(x^2+1-cos x)/(xsinx)
02:14
|
By giving an example, show that the following statement is false. If n...
01:20
|
Show that the statement For any real numbers a\ a n d\ b ,\ a^2=b^2 im...
01:21
|
Check the validity of the following statement: p : 100 is a multiple o...
01:45
|
Check the validity of the following statement: r : 60 is a multiple of...
01:52
|
Check the validity of the following statement: q : 125 is a multiple o...
01:49
|
Check whether the following statement is true or not: p : If\ x\ a n d...
03:03
|
Check whether the following statement is true or not: p : If x , y are...
04:15
|
Show that the statement: p : If x is a real number such that x^3+x=0,\...
05:48
|
Show that the following statement is true by the method of contrapos...
03:01
|
Show that the following statement is true: The integer n is even if an...
06:25
|
By giving a counter example, show that the following statement is not ...
01:20
|
Which of the following statements are true and which have are false? I...
02:32
|
Which of the following statements are true and which have are false? I...
03:13
|

Home

Profile