Question

prove that root 7+ root5) is an irrational where root 35 is an irrational number​

Answer 1

Step-by-step explanation:

Let Us Assume That Root 7 And Root 5 Are Rational

Then Root 7 +Root 5 = A/b Where A And B Are Co Primes 

Then Square On Both Sides 

(Root 7 +Root 5)square = A /Bwhole Square

2xroot 35= a/b whole square -12

root 35 = 1/2(a/b whole square -12)

RHS is rational

but root 35 is irrational as root 7 and root 7 are irrational 

this contradiction has arisen due to our incorrect assumption 

thus root 7 +root 5 is irrational 

hence the proof

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Answer 2

$\small\color{black}\boxed{{♛\:\:\:\:}\color{yellow}{Brainleist\: answer}}$ $\small\colorbox{lightgreen}{✓Verified answer}$

√7= 2.646...

√2=1.4142135623730951...

√3=1.7320508075688772...

these are non terminating non repeating decimal expansion that's why these are irrational

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ru also in 9th?