Advertisements
Advertisements
Question
Insert two irrational numbers between 5 and 6.
Solution
We know that 5 = √25 and 6 = √36.
Thus, consider the numbers.
√25 < √26 < √27 < √28 < √29 < √30 < √31 < √32 < √33 < √34 < √35 < √36.
Therefore, any two irrational numbers between 5 and 6 is √27 and √28.
APPEARS IN
RELATED QUESTIONS
Give two rational numbers lying between 0.515115111511115... and 0.535335333533335...
State whether the given statement is true or false:
1 . The product of a rational and an irrational is irrational .
Prove that `(2 sqrt(3) – 1)` is irrational.
Which of the following is irrational?
Prove that `(2+sqrt3)/5` is an irrational number, given that `sqrt 3` is an irrational number.
Compare the following:
`root(3)(48) and sqrt(36)`
Prove that `sqrt(3) + sqrt(5)` is irrational.
Find three rational numbers between 0.1 and 0.11
Insert a rational number and an irrational number between the following:
`1/3` and `1/2`
Show that x is irrational, if x2 = 0.009.