Math, asked by susheelapoojary63, 3 months ago

Find the value of 'O' and b
a) 5+2square root 3 ÷ 7+4square root 3 = a+bsquareroot 3
pls send me answer​

Answers

Answered by llCrownPrincell
2

Answer:

7+4 3

5+2 3

=a+b 3

Since rationalization of c+ d a+b = c+ d a+ b × c− dc− d

Taking L.H.S.

By rationalization,

7+435+23

= 7+4 3 5+2 3 × 7−4 7−4 3

Since, {(a+b)(a−b)=a 2 −b 2 }

= [(7) 2 −(43 ) 2 ](5+2 3 )×(7−4 3 )

= 49−16 33

35+14

3 −20 3 −8 33

= 49−4835− 3

(14−8)−24

= 135− 3 (6)−24 =11−6 3

Hence, by comparing a = 11 & b = -6.

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