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Rationalize the denominators of the following:

 1 / (√5 + √2)

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 1 / (√5 + √2)

We need to multiply the numerator and denominator of  1 / (√5 + √2) by √5 - √2, to get

 1 / (√5 + √2) x (5 - 2) / (5 - 2) 

= (5 - 2) / (5 + 2) (5 - 2)

We need to apply the formula (a - b)(a +b) = a2 -b2 int the denominator to get

1 / (5 + 2) = (5 - 2) / (5)2 -(2)2

= (5 - 2) / (5 - 2)

= (5 - 2) / 3

Therefore, we conclude that on rationalizing the denominator of 1 / (5 + 2),we get (5 - 2) / 3.

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