Question

rationalize the denominator1/√5+√2 and subtract it from √5-√2​

Answer 1

Q) 1/√5 + √2

Sol. :->

1/√5 + √2

=> 1 x (√5 - √2) / (√5 + √2)(√5 - √2)

=> (√5 - √2) / (√5)² - (√2)²

[ By identity :- (a+b)(a-b) = a² - b² ]

=> ( √5 - √2 ) / 5 - 2

=> ( √5 - √2 ) / 3

Now according to question , We have to subtract it from √5 - √2 ,

So ,

√5 - √2 - (√5 - √2) /3

=> { 3 ( √5 - √2 ) - (√5 - √2 ) } / 3

=> { (√5 - √2)(3 - 1) } / 3

=> { ( √5 - √2)(2) } / 3

=> (√5 - √2)(2)/3

This is it ,

Hope it helped you...

Answer 2

Hey mate here is your answer...

Hope it is helpful for you...So, Plzz mark my ans as brianliest answer...