Question

find the value of a and b if 5-2√3/7-4√3=a-b√3​

Answer 1

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sushant57 avatar

sushant57

11.02.2018

Math

Secondary School

answered

5+2√3/7+4√3=a-b√3 find the value of a and b of the following

2

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Answer

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642

Brainly User

Hi ,

LHS = (5 + 2√3 ) / ( 7 + 4√3 )

rationalize the denominator

= (5 + 2√3 ) ( 7 - 4√3 ) / [ ( 7 + 4√3 ) ( 7 - 4√3 )

= [ 5 ×7 - 5 × 4√3 + 2√3 × 7 - 2√3 × 4√3 ] / [ (7 )² - (4√3 )² ]

here we used ( x + y ) (x - y ) = x² - y² identity

= [35 -20√3 + 14√3 -24 ] / [ 49 - 48 ]

= (11 - 6√3 )

therefore ,

LHS = RHS

11 - 6√3 = A - B√3

comparing both sides

A = 11,

B = 6

Answer 2

Answer:

= 11 & b = -6.

Step-by-step explanation:

hope it will be helpful to you dear friend