Sarthaks Test
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Rationalize the denominators of the following:

1 / (√7 - 2)

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1/(√7 - 2)

We need to multiply the numerator and denominator of 1/(7 - 2) by 7 + 2, to get

1/(7 - 2) x (7 + 2)/(7 + 2) 

= (7 + 2)/(7 - 2)(7 + 2)

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

1/(7 - 2) = (7 + 2)/(7)2 - (2)2

= (7 + 2)/(7 -4)

= (7 + 2)/3

Therefore, we conclude that on rationalizing the denominator of 1/(7 - 2), we get (7 + 2)/3.

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