is 5+2√6 rational or irrational justify your answer
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Answered by
1
irrational is the answer
let us assume 5+2√6 is rational
5+2√6 = p/q
2√6 = p/q-5
2√6 = p-5q/q
√6 = p-5q/2q
√6 = irrational , p-5q/2q is rational
irrational ≠ rational
this is a contradiction to our assumption.
our assumption is false
hence, 5+2√6 is irrational
HOPE I AM HELPFUL
let us assume 5+2√6 is rational
5+2√6 = p/q
2√6 = p/q-5
2√6 = p-5q/q
√6 = p-5q/2q
√6 = irrational , p-5q/2q is rational
irrational ≠ rational
this is a contradiction to our assumption.
our assumption is false
hence, 5+2√6 is irrational
HOPE I AM HELPFUL
Vijaybhushan:
cool dude
Answered by
2
it is irrational because the conditions are as follows:
when rational is added to rational the answer is rational.
when rational is added to irrational the answer is irrational.....
let me tell it practically
5 + root6 -?
root6- 2.449489......
5 + 2.449489........
7.449489
when rational is added to rational the answer is rational.
when rational is added to irrational the answer is irrational.....
let me tell it practically
5 + root6 -?
root6- 2.449489......
5 + 2.449489........
7.449489
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