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Rationalize the Denominator. - Algebra

One Line Answer

Rationalize the denominator.

`3/(2 sqrt 5 - 3 sqrt 2)`

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Solution

`3/(2 sqrt 5 - 3 sqrt 2)`

`= 3/(2 sqrt 5 - 3 sqrt 2) xx (2 sqrt 5 + 3 sqrt 2)/(2 sqrt 5 + 3 sqrt 2)` 

`= (3(2 sqrt 5 - 3 sqrt 2))/((2 sqrt 5)^2 - (3 sqrt 2)^2)`

.....`[("a" + "b")("a" - "b") = "a"^2 - "b"^2]`

`= (3(2 sqrt 5 - 3 sqrt 2))/(20 - 18)`

`= 3/2 ( 2 sqrt 5 - 3 sqrt 2)`

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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 2 Real Numbers
Practice Set 2.4 | Q 2.2 | Page 32
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