3-√5 is irrational or rational?
Answers
Answered by
1
Answer:
irrational
hope it helps
Answered by
1
Answer:
Let √3-√5 be any rational number x
x=√3-√5
squaring both sides
x²=(√3-√5)²
x²=3+5-2√15
x²=8-2√15
x²+8=2√15
(x²+8)/2=√15
as x is a rational number so x²is also a rational number, 8 and 2 are rational nos. , so √15 must also be a rational number as quotient of two rational numbers is rational
but, √15 is an irrational number
so we arrive at a contradiction t
this shows that our supposition was wrong
so √3-√5 is not a rational number.
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