Question

Let x and y are two irrational numbers. Then show that x+y is also an irrational number?

Answer 1

Answer:

you can show this by using the property that the sum of two irrational number is always irrational.hope it helps you. pls mark me as brainliest

Answer 2

Answer:

Let us assume that x (which is a rationalnumber) = 8

And y (which is an irrational number) = 5.12

On adding x and y  

x + y = 8 + 5.12 = 13.12 which is irrational.

Here, we take another example

Consider x = 15 and y = 5.79

Then the value of x and y will be

x + y =15+5.79 = 20.79

These two examples clearly explains that the addition of a rational and an irrational numberleads to an irrational number.

Hence, x + y is an irrational number.

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