Math, asked by babitasahoo00584, 1 day ago

√2-√5/√2+√5 find a and b​

Answers

Answered by sujata4312
2

Hi ,

LHS = (√2 + √5 )/(√2 - √5 )

rationalize the denominator ,

= (√2 + √5 )² / [ (√2 - √5 )(√2 + √5 )]

= [ (√2)² +(√5)² + 2 × √2 × √5 ] /[(√2)² -(√5)²]

= [ 2 + 5 + 2√10 ] / (2 - 5 )

= ( 7 + 2√10 ) / ( - 3 )

= RHS

Therefore ,

(7+2√10 ) / (- 3 ) = a + b√10

7 / ( - 3 ) + ( - 2 / 3 ) × √10 = a + b √10

compare both sides ,

a = - 7/3 ,

b = - 2/ 3

I hope this helps you.

:)

Answered by adityasms3782
0

Answer:

hiii

Step-by-step explanation:

have a great day dear

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