Math, asked by smitadehradun, 8 months ago

rationalise the denominator of the following: 4 ± 3√5/4-3 √ 5

Answers

Answered by mshify6
2

Answer:

HERE IS UR ANSWER ------

4 + 3√5 / 4 - 3√5

= ( 4 + 3√5 / 4 - 3√5 ) × ( 4 + 3√5 / 4 + 3√5)

= ( 4 + 3√5)^2 / (4)^2 - (3√5)^2

= (4)^2 + (3√5)^2 + 2*4*3√5 / 16 - 45

= 16 + 45 + 24√5 / - 29

= 61 + 24√5 / -29

Answered by garvwadhawan1207
1

Answer:

4 + 3√5 / 4-3√5

Rationalising the denominator

(4+3√5)*(4+3√5) / (4-3√5)*(4+3√5)

(4)^2+12√5+12√5+45 / (4)^2-(3√5)^2

16+24√5+45 / 16 - 45

61+24√5 / -29

Ans . -61-24√5 / 29

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