Question

3. Is
$\sqrt{5} + \sqrt{3}$
irrational? Justify your answer.​

Answer 1

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Given:

✓5 = 2.236-----------

✓3 = 1.732------------

Here it is given ,

✓5+✓3

= 2.236------+1.732-------

= 3.968--------

Here the sum is in the form of decimal.

But according to rational numbers properties

A number is said to be rational number if it is of the form p/q .

But ,

Here the sum is not in the form of p/q

so ,

we can conclude that

✓5+✓3 is irrational number.

Hope this Answer is useful....