Question

Prove that √5 - √3 is not a rational number

Answer 1

If possible let √5 -√3 be a rational number equal to x
x=√5-√3
x^2=(√5-√3)^2
x^2=5+3-2√5√3
x^2=8-2√5√3
x^2-8=-2√5√3
(8-x^2)/2=√15
Now x is rational
X^2 is rational
(5-x^2)/2is rational
√15 is rational
But √15 is irrational
Thus we arrive at a contradiction.so our supposittion that √5-√3 is rational is wrong.
Hence it is an irrational number

Answer 2

Answer:

kitti do wrong it's right