Math, asked by Puppy1111, 1 year ago

if x is rational and root Y is irrational then prove that X + root Y is irrational

Answers

Answered by Mankuthemonkey01
1
Hey mate!!!!!


If a rational number is added or subtracted with an irrational number then the sum is also irrational.

For ex √2 is irrational let it be y
x be 2
Then 2 + √2 =
2 + 1.414.........
= 3.414........... it is still repeating therefore it is irrational.


Hope it helps dear friend ☺️✌️

Puppy1111: i can't understand this answer, dear
Mankuthemonkey01: the value of √2 is non terminating non repeating decimal
Mankuthemonkey01: that is 1.414 and so on
Mankuthemonkey01: it repeats and when we add 2 to it then it becomes 3.414 and repata again
Mankuthemonkey01: repeats*
Mankuthemonkey01: hence it is also irrational
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