Question

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find whether X and y are rational or irrational in the following
a) a=√2+7,b=√2-7;X=a+b,y=a-b

Answer 1

Given:

a=√2+7,b=√2-7;X=a+b,y=a-b

X=a+b

=√2+7+√2-7=2√2

so, x is irrational

Now,y=a-b =(√2+7)-(√2-7)

=√2+7-√2+7=14

so, y is rational.

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Answer 2

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