Question

Q.7. It is given that √5 is an irrational number then prove that (√5 + √3 ) is also an irrational number

Answer 1

Step-by-step explanation:

let v3+v5 be any rational number x X=(3+v5

squaring both sides x2-1V3+5)

x-3+5+2-/15 x-8+2v15

x²-8=2v15 (x2-8)/2= 15

as x is a rational number so x is also a rational number, 8 and 2 are rational nos., so v15 must

also be a rational number as quotient of two rational numbers is rational

but, v15 is an irrational number so we arrive at a contradiction t

this shows that our supposition was wrong

so v3+v5 is not a rational number

OR OR OR OR OR OR OR OR OR OR OR U CAN

DO IT LIKE THIS:

we know that, v3 and v5 are irrational numbers

so we know that sum of two irrational numbers is also irrational V3+V5 is also irrational hope this helps