Math, asked by yash1310, 1 year ago

root 2-1 / root 2+1 = a +b root 2
Find a and b

Answers

Answered by puja77

rationalising the denominator

$\frac{ \sqrt{2} - 1 }{ \sqrt{2} + 1 } = \frac{( \sqrt{2} - 1)( \sqrt{2} - 1) }{( \sqrt{2} + 1)( \sqrt{2} - 1) }$

(√2-1)² /(√2)²-(1)² = 2+1-2√2/2-1

3-2√2/1 = a+b√2

on comparing we get,

a = 3 and b = -2

hope it helps you

yash1310: wrong

yashgoyal101282: it is wrong

yash1310: on first step u have have written 2+1-2root2 and in the second step it becomes 3+2root2 how

yashgoyal101282: it is 3-2√2

yash1310: I think a=3 and b=-2

puja77: its 3-2√2

puja77: see once more

puja77: hope u got it Friend

yash1310: ok u have corrected the answer thanks

yashgoyal101282: okk

Answered by kaifykalim

I hope it's is helpful for you ok...............