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Mathematics
Proving a number is irrational or not
State whether the statement is true or false. The sum of two irrational numbers is irrational.

Mathematics
Proving a number is irrational or not
Give an example of two irrational numbers whose :
(i) difference is an irrational number
(ii) sum is an irrational number
(iii) product is an irrational number
(iv) division is an irrational number

Mathematics
Proving a number is irrational or not
Find two irrational numbers between 0.7 and 0.77.
Mathematics
Proving a number is irrational or not
Find whether the following statement is true or false. \[\pi \] is an irrational number.
A. True
B. False

Mathematics
Proving a number is irrational or not
Prove that \[3 + \sqrt 5 \] is an irrational number.

Mathematics
Proving a number is irrational or not
Which one of the following is not a rational number?
A. \[\sqrt{2}\]
B. 0
C. \[\sqrt{4}\]
D. \[\sqrt{16}\]

Mathematics
Proving a number is irrational or not
How do you simplify square roots that are irrational?

Mathematics
Proving a number is irrational or not
Prove that $3 + \sqrt 5 $ is an irrational number.
Mathematics
Proving a number is irrational or not
Is \[\pi \] an irrational number? Why?
Mathematics
Proving a number is irrational or not
Prove that $\sqrt p + \sqrt q $ is irrational, where p, q are primes.

Mathematics
Proving a number is irrational or not
Prove that \[\sqrt 3 + \sqrt 2 \] is an irrational number.

Mathematics
Proving a number is irrational or not
Prove that $6 + \sqrt 2 $ is irrational.

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