Math, asked by venkatmahesh06, 6 months ago

answer this question​

Attachments:

Answers

Answered by ItsBrainest
4

Step-by-step explanation:

√2+√3 = p/q

p/q-√3=√2

squaring on both sides we get,

= [p/q - √3]² = (√2)²

= p²/q² - 2p/q √3+3=2

= p²/q²+3-2 = 2√3p/q

= p²/q²+1= 2√3p/q

= [p²+q²/q²] *q/2p = √3

= p²+q²/2pq = √3

= √3 is a rational number.

{ therefore pq are integers

p²+q²/2pq are rational}

this contradicates the fact that √3 is irretational

so assumption was incorrect . hear √2+√3 is irrational.

hope it helps you.

Similar questions