Question

simplify by rationalising the denominator ( 4√3-6) / (4√3-6)​

Answer 1

Answer:

Given, (6 - 4√3)/(6 + 4√3)

Now, multiply by (6 - 4√3) in numerator and denominator, we get

{(6 - 4√3)*(6 - 4√3)}/{(6 + 4√3)*(6 - 4√3)}

=> (6 - 4√3)2 /{62 - (4√3)2 }

= {36 + (4√3)2 - 2*6*4√3}/(36 - 4*4*3)

= {36 + 48 - 48√3}/(36 - 48)

= {84 - 48√3}/(-12)

= -{84 - 48√3}/12

= {48√3 - 84}/12

= {12 *4*√3 - 12*7}/12

= 12{4√3 - 7}/12

= 4√3 - 7

So, (6 - 4√3)/(6 + 4√3) = 4√3 - 7

Step-by-step explanation:

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