1.

Given that √2 is irrational. Show that 5+√2 is irrational

Answer»

Answer:

5+root2 is ALSO IRRATIONAL NUMBER because

irrational number is a number which cannot be written in the FORM of p/q and is non-terminating and non-repeating.

so ROOT 2 is approximately 1.414....... and afer adding we get 6.414........ which is in decimal form and not in p/q form

Hence, 5+root2 is also an irrational number.....

or

by the irrational number property

rational+irrational= irrational

Hope this helps you



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