Question

show that √5 + √3 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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  this shows that our supposition was wrong

so √3+√5 is not a rational number