Question

show that 3√5 is irrational

Answer 1



1

Secondary SchoolMath5 points

Prove that root 3 plus root 5 is irrational

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Ask for details FollowReport byThankfulTroll49491 13.08.2017

Answers

THE BRAINLIEST ANSWER!



Kandarp1Ace

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 

Answer 2

HEY FRIEND

HERE IS YOUR ANSWER

TO PROVE :
_________

3√5 is an irrational no.

ASSUMPTION :
___________

Let 3√5 is a rational no.

PROOF:
______

Let 3√5=r

√5=r/3

√5 is an irrational no.

But r/3 is a rational no.

They can't be equal

So our supposition is wrong

Therefore 3√5 is an irrational no.

HENCE, PROVED!

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